Publications

1. Articles and notes

2024

• An inertial self-adaptive algorithm for solving split feasibility problems and fixed point problems in the class of demicontractive mappings
  Berinde Vasile
  J. Inequal. Appl. 2024, Art. no. 82 DOI 10.1186/s13660-024-03155-9
• Recent developments in the fixed point theory of enriched contractive mappings. A survey
  Berinde Vasile; Păcurar Mădălina
  Creat. Math. Inform 33 (2024), no. 2, 137–159.
• On approximating fixed points of strictly pseudocontractive mappings in metric spaces
  Salisu, Sani; Berinde, Vasile; Sriwongsa, Songpon; Kumam, Poom
  Carpathian J. Math. 40 (2024), no. 2, 419–430.
• Existence and approximation of fixed points of enriched contractions in quasi-Banach spaces
  Berinde, Vasile
  Carpathian J. Math. 40 (2024), no. 2, 263–274.
• Non-monotonic and self-adaptive strongly convergent iterative methods for efficiently solving variational inequalities with pseudomonotone operators
  ur Rehman, Habib; Kumam, Poom; Berinde, Vasile; Kumam, Wiyada
  Comput. Appl. Math. 43 (2024), no. 2, Paper No. 80, 36 pp.
• On a useful lemma that relates quasi-nonexpansive and demicontractive mappings in Hilbert spaces
  Berinde, Vasile
  Creat. Math. Inform. 33 (2024), no. 1, 7–21.

2023

• Krasnoselskij-type algorithms for fixed point problems and variational inequality problems in Banach spaces
  Berinde, Vasile; Păcurar, Mădălina
  Topology Appl. 340 (2023), Paper No. 108708, 15 pp.
• Approximating fixed points of demicontractive mappings in metric spaces by geodesic averaged perturbation techniques
  Salisu, Sani; Berinde, Vasile; Sriwongsa, Songpon; Kumam, Poom
  AIMS Math. 8 (2023), no. 12, 28582–28600.
• Remarks on the terminology of the mappings in fixed point iterative methods in metric spaces
  Berinde, Vasile; Petruşel, Adrian; Rus, Ioan A.
  Fixed Point Theory 24 (2023), no. 2, 525–540.
• A modified Ishikawa iteration scheme for b-enriched nonexpansive mapping to solve split variational inclusion problem and fixed point problem in Hilbert spaces
  Phairatchatniyom, Pawicha; Kumam, Poom; Berinde, Vasile
  Math. Methods Appl. Sci. 46 (2023), no. 12, 13243–13261.
• A heuristic method for solving linear and quasi-linear first order partial differential equations
  Berinde, Vasile
  Creat. Math. Inform. 32 (2023), no. 2, 141–152.
• Alternative proofs of some classical metric fixed point theorems by using approximate fixed point sequences
  Berinde, Vasile; Păcurar, Mădălina
  Arab. J. Math. (Springer) 12 (2023), no. 2, 341–351.
• A family of monotonic iterative methods for solving ρ-demicontractive fixed point problems and variational inequalities involving pseudomonotone operators
  Rehman, Habib Ur; Kumam, Poom; Berinde, Vasile; Kumam, Wiyada
  J. Nonlinear Convex Anal. 24 (2023), no. 4, 905–924.
• A qualitative analysis of a second-order anisotropic phase-field transition system endowed with a general class of nonlinear dynamic boundary conditions
  Berinde, Vasile; Miranville, Alain; Moroşanu, Costică
  Discrete Contin. Dyn. Syst. Ser. S 16 (2023), no. 1, 148–186.
• Approximating fixed points of demicontractive mappings via the quasi-nonexpansive case
  Berinde, Vasile
  Carpathian J. Math. 39 (2023), no. 1, 73–85.
• Single-valued demicontractive mappings: Half a century of developments and future prospects
  Berinde, Vasile
  Symmetry 15 (2023), 1866. https://doi.org/10.3390/sym15101866

2022

• A new class of unsaturated mappings: Ćirić-Reich-Rus contractions
  Berinde, Vasile; Păcurar, Mădălina
  An. Ştiinţ. Univ. „Ovidius'” Constanţa Ser. Mat. 30 (2022), no. 3, 37–50.
• The early developments in fixed point theory on b -metric spaces: a brief survey and some important related aspects
  Berinde, Vasile; Păcurar, Mădălina
  Carpathian J. Math. 38 (2022), no. 3, 523–538.
• An extended inertial Halpern-type ball-relaxed CQ algorithm for multiple-sets split feasibility problem
  Taddele, Guash Haile; Kumam, Poom; Berinde, Vasile
  Ann. Funct. Anal. 13 (2022), no. 3, Paper No. 48, 38 pp.
• Why Pompeiu-Hausdorff metric instead of Hausdorff metric?
  Berinde, Vasile; Păcurar, Mădălina
  Creat. Math. Inform. 31 (2022), no. 1, 33–41.
• Maia type fixed point theorems for some classes of enriched contractive mappings in Banach spaces
  Berinde, Vasile
  Carpathian J. Math. 38 (2022), no. 1, 35–46.
• Existence and approximation of fixed points of enriched $\varphi$-contractions in Banach spaces
  Berinde, Vasile, Harjani, Jackie, Sadarangani, Kishin
  Mathematics 10 (2022) , 4138. https://doi.org/10.3390/ math10214138
• A modified Krasnoselskii-Mann iterative algorithm for approximating fixed points of enriched nonexpansive mappings
  Berinde, Vasile
  Symmetry 14 (2022) no. 1, 123. https://doi.org/10.3390/sym14010123

2021

• Approximating fixed points of enriched Chatterjea contractions by Krasnoselskij iterative algorithm in Banach spaces
  Berinde, Vasile; Păcurar, Mădălina
  J. Fixed Point Theory Appl. 23 (2021), no. 4, Paper No. 66, 16 pp.
• Fixed point theorems for enriched Ćirić-Reich-Rus contractions in Banach spaces and convex metric spaces
  Berinde, Vasile; Păcurar, Mădălina
  Carpathian J. Math. 37 (2021), no. 2, 173–184.
• On the global asymptotic stability of solutions of some difference equations with intrinsic initial conditions
  Berinde, Vasile
  Math. Probl. Eng. (2021), Art. ID 6673479, 6 pp.
• Kannan’s fixed point approximation for solving split feasibility and variational inequality problems
  Berinde, Vasile; Păcurar, Mădălina
  J. Comput. Appl. Math. 386 (2021), Paper No. 113217, 9 pp.
• Creative Mathematics and Informatics: 30 years on
  Berinde, Vasile
  Creat. Math. Inform. 30 (2021), no. 2, 139-148.

2020

• Asymptotic regularity, fixed points and successive approximations
  Berinde, Vasile; Rus, Ioan A.
  Filomat 34 (2020), no. 3, 965–981.
• Approximating fixed points of almost convex contractions in metric spaces
  Berinde, Vasile
  Ann. Acad. Rom. Sci. Ser. Math. Appl. 12 (2020), no. 1-2, 11–23.
• Strong convergence of Picard and Mann iterations for strongly demicontractive multi-valued mappings
  Jailoka, Pachara; Berinde, Vasile; Suantai, Suthep
  Carpathian J. Math. 36 (2020), no. 2, 269–276.
• Approximating fixed points of enriched nonexpansive mappings in Banach spaces by using a retraction-displacement condition
  Berinde, Vasile
  Carpathian J. Math. 36 (2020), no. 1, 27–34.
• Approximating fixed points of enriched contractions in Banach spaces
  Berinde, Vasile; Păcurar, Mădălina
  J. Fixed Point Theory Appl. 22 (2020), no. 2, Paper No. 38, 10 pp.
• Carpathian Journal of Mathematics celebrates 30 years of publication
  Berinde, Vasile
  Carpathian J. Math. 36 (2020), no. 3, i–iv.
• Superiorization methodology and perturbation resilience of inertial proximal gradient algorithm with application to signal recovery
  Pakkaranang, N.; Kumam, P.; Berinde, V.; Suleiman, Y. I.
  Journal of Supercomputing, 76 (2020), 9456–9477; https://doi.org/10.1007/s11227-020-03215-z.

2019

• Within the world of demicontractive mappings. In Memoriam Professor Ştefan Măruşter (1937–2017)
  Berinde, Vasile; Păcurar, Mădălina
  An. Univ. Vest Timiş. Ser. Mat.-Inform. 57 (2019), no. 1, 3–12.
• Celebrating the 70th birthday of Professor Charles E. Chidume
  Berinde, Vasile
  J. Nigerian Math. Soc. 38 (2019), no. 3, 329–340.
• Adaptive algorithm for solving the SCFPP of demicontractive operators without a priori knowledge of operator norms
  Kitkuan, Duangkamon; Kumam, Poom; Berinde, Vasile; Padcharoen, Anantachai
  An. Ştiinţ. Univ. „Ovidius” Constanţa Ser. Mat. 27 (2019), no. 3, 153–175.
• Approximating fixed points of enriched nonexpansive mappings by Krasnoselskij iteration in Hilbert spaces
  Berinde, Vasile
  Carpathian J. Math. 35 (2019), no. 3, 293–304.
• A comparative study of the PL homotopy and BFGS methods for some nonsmooth optimization problems
  Bozântan, Andrei; Berinde, Vasile
  Creat. Math. Inform. 28 (2019), no. 2, 97–104.
• Coincidence point theorem and common fixed point theorem for nonself single-valued almost contractions
  Berinde, Vasile; Sridarat, Phikul; Suantai, Suthep
  Bull. Math. Soc. Sci. Math. Roumanie (N.S.) 62(110) (2019), no. 1, 51–65.
• Coincidence point theorems for cyclic multi-valued and hybrid contractive mappings
  Saksirikun, Warut; Berinde, Vasile; Petrot, Narin
  Carpathian J. Math. 35 (2019), no. 1, 85–94.
• On an open problem regarding the spectral radius of the derivatives of a function and of its iterates
  Berinde, Vasile; Măruşter, Ştefan; Rus, Ioan A.
  Creat. Math. Inform. 28 (2019), no. 1, 33–39.
• On the computation of the antiderivatives on R of a class of continuous periodic functions
  Bărbosu,Dan; Berinde, Vasile
  Creat. Math. Inform. 28 (2019), no. 1, 27–32.

2018

• Weak and strong convergence theorems for the Krasnoselskij iterative algorithm in the class of enriched strictly pseudocontractive operators
  Berinde, Vasile
  An. Univ. Vest Timiş. Ser. Mat.-Inform. 56 (2018), no. 2, 13–27.
• Comments on some fixed point theorems in metric spaces
  Berinde, Vasile
  Creat. Math. Inform. 27 (2018), no. 1, 15–20.
• Fixed point iterations for Prešić-Kannan nonexpansive mappings in product convex metric spaces
  Fukhar-ud-din, Hafiz; Berinde, Vasile
  Acta Univ. Sapientiae Math. 10 (2018), no. 1, 56–69.
• Comments on a fixed point theorem of Miron Nicolescu
  Berinde, Vasile
  Linear Nonlinear Anal. 4 (2018), no. 1, 19–28.
• Fixed points of discontinuous mappings in uniformly convex metric spaces
  Shukri, Sami Atif; Berinde, Vasile; Khan, Abdul Rahim
  Fixed Point Theory 19 (2018), no. 1, 397–406.
• On the global stability of some k-order difference equations
  Berinde, Vasile; Fukhar-ud-din, Hafiz; Păcurar, Mădălina
  Results in Nonlinear Analysis 1 (2018) No. 1, 13–18

2017

• A general concept of multiple fixed point for mappings defined on spaces with a distance
  Choban, Mitrofan M.; Berinde, Vasile
  Carpathian J. Math. 33 (2017), no. 3, 275–286.
• Multiple fixed point theorems for contractive and Meir-Keeler type mappings defined on partially ordered spaces with a distance
  Choban, Mitrofan M.; Berinde, Vasile
  Appl. Gen. Topol. 18 (2017), no. 2, 317–330.
• Two open problems in the fixed point theory of contractive type mappings on quasimetric spaces
  Choban, Mitrofan M.; Berinde, Vasile
  Carpathian J. Math. 33 (2017), no. 2, 169–180.
• Saturated contraction principles for non self operators, generalizations and applications
  Berinde, Vasile; Măruşter, Ştefan; Rus, Ioan A.
  Filomat 31 (2017), no. 11, 3391–3406.
• Coupled and triple fixed point theorems for mixed monotone almost contractive mappings in partially ordered metric spaces
  Berinde, Vasile; Păcurar, Mădălina
  J. Nonlinear Convex Anal. 18 (2017), no. 4, 651–659.
• Corrigendum to: „Coincidence and fixed points for multi-valued mappings and its application to nonconvex integral inclusions” [J. Comput. Appl. Math. 283 (2015) 201–217]
  Berinde, Vasile; Păcurar, Mădălina
  J. Comput. Appl. Math. 311 (2017), 718–720.
• Gazeta Matematică: international impact and visibility
  Berinde, Vasile
  Creat. Math. Inform. 26 (2017), no. 1, 37-44.
• Within the world of demicontractive mappings. In Memoriam Professor Ștefan Mărușter (1937-2017)
  Berinde, Vasile; Păcurar, Mădălina
  An. Univ. Vest Timiş. Ser. Mat.-Inform. 45 (2007), no. 1, 33–41.
• Picard orbits of Lipschitzian type mappings and their accumulation points on distance spaces
  Berinde, Vasile; Choban, Mitrofan
  Acta et commentationes (Ştiinţe Exacte și ale Naturii), Numărul 2(4) / 2017.

2016

• Fixed point approximation of Prešić nonexpansive mappings in product of CAT(0) spaces
  Fukhar-ud-din, Hafiz; Berinde, Vasile; Khan, Abdul Rahim
  Carpathian J. Math. 32 (2016), no. 3, 315–322.
• Fixed point theorems for nonself Kannan type contractions in Banach spaces endowed with a graph
  Balog, Laszlo; Berinde, Vasile
  Carpathian J. Math. 32 (2016), no. 3, 293–302.
• A glance into the beauty of fixed point theory: Professor Emeritus Ioan A. Rus on his 80th anniversary
  Berinde, Vasile; Păcurar, Mădălina
  Carpathian J. Math. 32 (2016), no. 3, i–viii.
• On a notion of rapidity of convergence used in the study of fixed point iterative methods
  Berinde, Vasile
  Creat. Math. Inform. 25 (2016), no. 1, 29–40.
• Approximating fixed points of nonself contractive type mappings in Banach spaces endowed with a graph
  Balog, Laszlo; Berinde, Vasile; Păcurar, Mădălina
  An. Ştiinţ. Univ. „Ovidius” Constanţa Ser. Mat. 24 (2016), no. 2, 27–43.
• Iterative methods for the class of quasi-contractive type operators and comparison of their rate of convergence in convex metric spaces
  Fukhar-ud-din, Hafiz; Berinde, Vasile
  Filomat 30 (2016), no. 1, 223–230.
• Creative Mathematics and Informatics: celebrating a quarter century of publication
  Berinde, Vasile
  Creat. Math. Inform. 25 (2016), No. 2, i-viii.
• Fixed point theorems for nonself Kannan type contractions in Banach spaces endowed with a graph
  Balog, Laszlo; Berinde, Vasile
  Carpathian J. Math. 32 (2016), no. 3, 293–302.
• A glance into the beauty of fixed point theory: Professor Emeritus Ioan A. Rus on his 80th anniversary
  Berinde, Vasile; Păcurar, Mădălina
  Carpathian J. Math. 32 (2016), No. 3, i-viii.

2015

• A numerical study on the robustness and efficiency of the PL homotopy algorithm for solving unconstrained optimization problems
  Bozantan, Andrei; Berinde, Vasile
  Creat. Math. Inform. 24 (2015), no. 2, 113–122.
• Fixed point theorems for cyclic non-self single-valued almost contractions
  Berinde, Vasile; Petric, Mihaela Ancuţa
  Carpathian J. Math. 31 (2015), no. 3, 289–296.
• A constructive approach to coupled fixed point theorems in metric spaces
  Berinde, Vasile; Păcurar, Mădălina
  Carpathian J. Math. 31 (2015), no. 3, 277–287.
• Analytic and empirical study of the rate of convergence of some iterative methods
  Berinde, Vasile; Khan, Abdul Rahim; Păcurar, Mădălina
  J. Numer. Anal. Approx. Theory 44 (2015), no. 1, 25–37.
• On a functional equation arising in mathematical biology and theory of learning
  Berinde, Vasile; Khan, Abdul Rahim
  Creat. Math. Inform. 24 (2015), no. 1, 9–16.
• The contraction principle for nonself mappings on Banach spaces endowed with a graph
  Berinde, Vasile; Păcurar, Mădălina
  J. Nonlinear Convex Anal. 16 (2015), no. 9, 1925–1936.
• Fixed point iterative methods defined as admissible perturbations of generalized pseudocontractive operators
  Berinde, Vasile; Khan, Abdul Rahim; Fukhar-ud-din, Hafiz
  J. Nonlinear Convex Anal. 16 (2015), no. 3, 563–572.
• Tripled fixed point theorems for mixed monotone Chatterjea type contractive operators
  Borcut, Marin; Păcurar, Mădălina; Berinde, Vasile
  J. Comput. Anal. Appl. 18 (2015), no. 5, 793–802.

2014

• Triple fixed point theorems for mixed monotone Prešić-Kannan and Prešić-Chatterjea mappings in partially ordered metric spaces
  Păcurar, Mădălina; Berinde, Vasile; Borcut, Marin; Petric, Mihaela
  Creat. Math. Inform. 23 (2014), no. 2, 223–234.
• Controlling autonomous scalar discrete dynamical systems generated by non self Lipschitzian functions
  Berinde, Vasile; Kovács, Gabriella
  Creat. Math. Inform. 23 (2014), no. 2, 153–164.
• From a Dieudonné theorem concerning the Cauchy problem to an open problem in the theory of weakly Picard operators
  Berinde, Vasile; Păcurar, Mădălina; Rus, Ioan A.
  Carpathian J. Math. 30 (2014), no. 3, 283–292.
• Coupled solutions for a bivariate weakly nonexpansive operator by iterations
  Berinde, Vasile; Khan, Abdul Rahim; Păcurar, Madalina
  Fixed Point Theory Appl. (2014), 2014:149, 12 pp.
• Recurrent inequalities and some of their applications to Picard and Mann iterations
  Berinde, Vasile; Măruşter, Ştefan
  An. Univ. Vest Timiş. Ser. Mat.-Inform. 52 (2014), no. 1, 3–16.
• About the implementation and some applications of the FIXPOINT software minipackage
  Bozantan, Andrei; Berinde, Vasile
  Creat. Math. Inform. 23 (2014), no. 1, 41–50.
• A man who had known his star in the sky. A homage to Professor Eugen Grebenikov (1932–2013)
  Berinde, Vasile
  Creat. Math. Inform. 23 (2014), no. 1, 15–30.
• Convergence theorems for admissible perturbations of ϕ -pseudocontractive operators
  Berinde, Vasile; Khan, Abdul Rahim; Păcurar, Mădălina
  Miskolc Math. Notes 15 (2014), no. 1, 27–37.
• Stability of k-step fixed point iterative methods for some Prešić type contractive mappings
  Berinde, Vasile; Păcurar, Mădălina
  J. Inequal. Appl.(2014), 2014:149, 12 pp.
• An abstract point of view on iterative approximation of fixed points of nonself operators
  Berinde, V.; Măruşter, Şt.; Rus, I. A.
  J. Nonlinear Convex Anal. 15 (2014), no. 5, 851–865.
• Fixed points of non-self almost contractions
  Alghamdi, Maryam A.; Berinde, Vasile; Shahzad, Naseer
  Carpathian J. Math. 30 (2014), no. 1, 7–14.
• Tripled fixed point theorems for mixed monotone Kannan type contractive mappings
  Borcut, Marin; Păcurar, Mădălina; Berinde, Vasile
  J. Appl. Math.(2014), Art. ID 120203, 8 pp.

2013

• Fixed point for cyclic weak (ψ,C) -contractions in 0-complete partial metric spaces
  Berinde, Vasile; Vetro, Francesca
  Filomat 27 (2013), no. 8, 1405–1413.
• The role of the Pompeiu-Hausdorff metric in fixed point theory
  Berinde, Vasile; Păcurar, Mădălina
  Creat. Math. Inform. 22 (2013), no. 2, 143–150.
• Fixed point theorems for nonself single-valued almost contractions
  Berinde, Vasile; Păcurar, Mădălina
  Fixed Point Theory 14 (2013), no. 2, 301–311.
• Applications of the PL homotopy algorithm for the computation of fixed points to unconstrained optimization problems
  Bozantan, Andrei; Berinde, Vasile
  Creat. Math. Inform. 22 (2013), no. 1, 41–46.
• Generalized distances and their associate metrics. Impact on fixed point theory
  Berinde, Vasile; Choban, Mitrofan
  Creat. Math. Inform. 22 (2013), no. 1, 23–32.
• Convergence theorems for fixed point iterative methods defined as admissible perturbations of a nonlinear operator
  Berinde, Vasile
  Carpathian J. Math. 29 (2013), no. 1, 9–18.
• Fixed points of multivalued nonself almost contractions
  Alghamdi, Maryam A.; Berinde, Vasile; Shahzad, Naseer
  J. Appl. Math.(2013), Art. ID 621614, 6 pp.
• A coupled coincidence point theorem in partially ordered metric spaces
  Can, Nguyen V.; Berinde, Vasile; Luong, Nguyen V.; Thuan, Nguyen X.
  Kragujevac J. Math. 37 (2013), no. 1, 103–119.
• New sharp estimates of the generalized Euler-Mascheroni constant
  Berinde, Vasile; Mortici, Cristinel
  Math. Inequal. Appl. 16 (2013), no. 1, 279–288.

2012

• Fixed point theorems for Ćirić-type strong almost contractions on partial metric spaces
  Acar, Özlem; Berinde, Vasile; Altun, Ishak
  J. Fixed Point Theory Appl. 12 (2012), no. 1-2, 247–259.
• A generalization of Mortici lemma
  Berinde, Vasile
  Creat. Math. Inform. 21 (2012), no. 2, 129–134.
• Approximating fixed points of implicit almost contractions
  Berinde, Vasile
  Hacet. J. Math. Stat. 41 (2012), no. 1, 93–102.
• Coupled fixed point theorems for generalized symmetric Meir-Keeler contractions in ordered metric spaces
  Berinde, Vasile; Păcurar, Mădălina
  Fixed Point Theory Appl.(2012), 2012:115, 11 pp.
• Coupled coincidence point theorems for mixed monotone nonlinear operators
  Berinde, Vasile
  Comput. Math. Appl. 64 (2012), no. 6, 1770–1777.
• Common fixed points of mappings satisfying implicit contractive conditions
  Berinde, Vasile; Vetro, Francesca
  Fixed Point Theory Appl.(2012), 2012:105, 8 pp.
• An empirical study of the ϵ-algorithm for accelerating numerical sequences
  Bumbariu, Oana; Berinde, Vasile
  Appl. Math. Sci. (Ruse) 6 (2012), no. 21-24, 1181–1190.
• Coupled fixed point theorems for ϕ-contractive mixed monotone mappings in partially ordered metric spaces
  Berinde, Vasile
  Nonlinear Anal. 75 (2012), no. 6, 3218–3228.
• Tripled coincidence theorems for contractive type mappings in partially ordered metric spaces
  Borcut, Marin; Berinde, Vasile
  Appl. Math. Comput. 218 (2012), no. 10, 5929–5936.
• Quadruple fixed point theorems for nonlinear contractions in partially ordered metric spaces
  Karapinar, Erdal; Berinde, Vasile
  Banach J. Math. Anal. 6 (2012), no. 1, 74–89.

2011

• Creative Mathematics and Informatics: Celebrating 20 years of publication
  Berinde, Vasile
  Creat. Math. Inform. 20 (2011), No. 2, i-vi.
• Nonexpansive fixed point technique used to solve boundary value problems for fractional differential equations
  Lauran, Monica; Berinde, Vasile
  An. Ştiinţ. Univ. Al. I. Cuza Iaşi. Mat. (N.S.) 57 (2011), 137–149.
• On the solution of Steinhaus functional equation using weakly Picard operators
  Berinde, Vasile
  Filomat 25 (2011), no. 1, 69–79.
• About mathematics, mathematicians and their „invisible colleges”
  Berinde, Vasile
  Eur. Math. Soc. Newsl.(2011), no. 82, 38–42.
• Two elementary applications of some Prešić type fixed point theorems
  Berinde, Vasile; Păcurar, Mădălina
  Creat. Math. Inform. 20 (2011), no. 1, 32–42.
• Stability of Picard iteration for contractive mappings satisfying an implicit relation
  Berinde, Vasile
  Carpathian J. Math. 27 (2011), no. 1, 13–23.
• Generalized coupled fixed point theorems for mixed monotone mappings in partially ordered metric spaces
  Berinde, Vasile
  Nonlinear Anal. 74 (2011), no. 18, 7347–7355.
• Tripled fixed point theorems for contractive type mappings in partially ordered metric spaces
  Berinde, Vasile; Borcut, Marin
  Nonlinear Anal. 74 (2011), no. 15, 4889–4897.

2010

• Carpathian Journal of Mathematics: celebrating 20 years of publication of the new series
  Berinde, Vasile
  Carpathian J. Math. 26 (2010), No. 2, i-vi.
• The centenary of the Romanian Mathematical Society
  Berinde, Vasile
  Eur. Math. Soc. Newsl. 77 (2010), p. 8.
• Dotson’s convexity, Banach operator pair and best simultaneous approximations
  Hussain, Nawab; Kutbi, Marwan Amine; Berinde, Vasile
  Math. Commun. 15 (2010), no. 2, 377–386.
• Empirical study of a Padé type accelerating method of Picard iteration
  Bumbariu, Oana; Berinde, Vasile
  Creat. Math. Inform. 19 (2010), no. 2, 149–159.
• On the generalized Coşniţă-Turtoiu inequalities
  Berinde, Vasile
  Creat. Math. Inform. 19 (2010), no. 2, 130–134.
• Existence and approximation of solutions of some first order iterative differential equations
  Berinde, Vasile
  Miskolc Math. Notes 11 (2010), no. 1, 13–26.
• Approximating common fixed points of noncommuting almost contractions in metric spaces
  Berinde, Vasile
  Fixed Point Theory 11 (2010), no. 2, 179–188.
• Common fixed points of noncommuting discontinuous weakly contractive mappings in cone metric spaces
  Berinde, Vasile
  Taiwanese J. Math. 14 (2010), no. 5, 1763–1776.
• Living in a fairy land called mathematics: Svetoslav Jordanov Bilchev (1946–2010)
  Berinde, Vasile
  Carpathian J. Math. 26 (2010), no. 2, vii–xiv.
• Weak stability of iterative procedures for some coincidence theorems
  Timiş, Ioana; Berinde, Vasile
  Creat. Math. Inform. 19 (2010), no. 1, 85–95.
• Remarks on some completeness conditions involved in several common fixed point theorems
  Berinde, Vasile; Choban, Mitrofan
  Creat. Math. Inform. 19 (2010), no. 1, 1–10.
• Common fixed points of noncommuting almost contractions in cone metric spaces
  Berinde, Vasile
  Math. Commun. 15 (2010), no. 1, 229–241.
• The joy of doing mathematics. Interview with Professor Ioan A. Rus
  Păcurar, Mădălina; Berinde, Vasile
  Eur. Math. Soc. Newsl. 76 (2010), 47-50.

2009

• An iterative method for approximating fixed points of Presić nonexpansive mappings
  Berinde, Vasile; Păcurar, Mădălina
  Rev. Anal. Numér. Théor. Approx. 38 (2009), no. 2, 144–153.
• A note on the paper „Remarks on fixed point theorems of Berinde” [MR2404199]
  Berinde, Vasile; Păcurar, Mădălina
  Nonlinear Anal. Forum 14 (2009), 119–124.
• A new generalization of Euler’s constant
  Berinde, Vasile
  Creat. Math. Inform. 18 (2009), no. 2, 123–128.
• On a family of first order difference inequalities used in the iterative approximation of fixed points
  Berinde, Vasile
  Creat. Math. Inform. 18 (2009), no. 2, 110–122.
• Some remarks on a fixed point theorem for Ćirić-type almost contractions
  Berinde, Vasile
  Carpathian J. Math. 25 (2009), no. 2, 157–162.
• Controlling chaotic dynamical systems through fixed point iterative techniques
  Berinde, Vasile
  Sci. Stud. Res. Ser. Math. Inform. 19 (2009), no. 2, 47–57.
• The measure of a great idea: 50 years on from the creation of the International Mathematical Olympiad
  Berinde, Vasile; Păcurar, Mădălina
  Eur. Math. Soc. Newsl. 74 (2009), 15–18.
• A common fixed point theorem for compatible quasi contractive self mappings in metric spaces
  Berinde, Vasile
  Appl. Math. Comput. 213 (2009), no. 2, 348–354.
• A note on a difference inequality used in the iterative approximation of fixed points
  Berinde, Vasile
  Creat. Math. Inform. 18 (2009), no. 1, 6–9.
• Common fixed point and approximation results for generalized ϕ-contractions
  Hussain, Nawab; Berinde, Vasile; Shafqat, N.
  Fixed Point Theory 10 (2009), no. 1, 111–124.
• Approximating common fixed points of noncommuting discontinuous weakly contractive mappings in metric spaces
  Berinde, Vasile
  Carpathian J. Math. 25 (2009), no. 1, 13–22.

2008

• A convergence theorem for some Newton type methods under weak smoothness conditions
  Păcurar, Mădălina; Berinde, Vasile
  An. Univ. Vest Timiş. Ser. Mat.-Inform. 46 (2008), no. 2, 115–122.
• Stabilizing discrete dynamical systems by monotone Krasnoselskij type iterative schemes
  Berinde, Vasile; Kovács, Gabriella
  Creat. Math. Inform. 17 (2008), no. 3, 298–307.
• On the iterative solution of some decomposable nonlinear operator equations
  Berinde, Vasile
  Creat. Math. Inform. 17 (2008), no. 2, 1–7.
• General constructive fixed point theorems for Ćirić-type almost contractions in metric spaces
  Berinde, Vasile
  Carpathian J. Math. 24 (2008), no. 2, 10–19.
• Fixed points and continuity of almost contractions
  Berinde, Vasile; Păcurar, Mădălina
  Fixed Point Theory 9 (2008), no. 1, 23–34.

2007

• A convergence theorem for Mann iteration in the class of Zamfirescu operators
  Berinde, Vasile
  An. Univ. Vest Timiş. Ser. Mat.-Inform. 45 (2007), no. 1, 33–41.
• Foreword [Proceedings of the 5th International Conference on Applied Mathematics (ICAM5)]
  Berinde, Vasile; Pop, Nicolae
  Creat. Math. Inform. 16 (2007), iii.
• Foreword [Proceedings of the 5th International Conference on Applied Mathematics (ICAM5)]
  Berinde, Vasile; Pop, Nicolae
  Carpathian J. Math. 23 (2007), no. 1-2, iii.
• On a general class of multi-valued weakly Picard mappings
  Berinde, Mădălina; Berinde, Vasile
  J. Math. Anal. Appl. 326 (2007), no. 2, 772–782.
• Interview with Marius Iosifescu (interviewed by Vasile Berinde)
  Berinde, Vasile
  Eur. Math. Soc. Newsl. 64, 39-43 (2007).

2006

• A fixed point proof of the convergence of a Newton-type method
  Berinde, Vasile; Păcurar, Mădălina
  Fixed Point Theory 7 (2006), no. 2, 235–244.
• Professor Ioan A. Rus on his 70th birthday: a complete scientist, an accomplished mathematician
  Berinde, Vasile; Petruşel, Adrian
  Fixed Point Theory 7 (2006), no. 2, 167–174.
• Common fixed point and invariant approximation results in certain metrizable topological vector spaces
  Hussain, Nawab; Berinde, Vasile
  Fixed Point Theory Appl. (2006), Art. ID 23582, 13 pp.

2005

• Error estimates for approximating fixed points of quasi contractions
  Berinde, Vasile
  Gen. Math. 13 (2005), no. 2, 23–34.
• On Zamfirescu’s fixed point theorem
  Berinde, Vasile; Berinde, Mădălina
  Rev. Roumaine Math. Pures Appl. 50 (2005), no. 5-6, 443–453.
• The fastest Krasnoselskij iteration for approximating fixed points of strictly pseudo-contractive mappings
  Berinde, Vasile; Berinde, Mădălina
  Carpathian J. Math. 21 (2005), no. 1-2, 13–20.
• Associate Professor Maria Sânziana Pop at her 65th anniversary
  Berinde, Vasile
  Carpathian J. Math. 21 (2005), no. 1-2, i–v.
• A convergence theorem for some mean value fixed point iteration procedures
  Berinde, Vasile
  Demonstratio Math. 38 (2005), no. 1, 177–184.

2004

• Comparing Krasnoselskij and Mann iterative methods for Lipschitzian generalized pseudo-contractions
  Berinde, Vasile
  International Conference on Fixed Point Theory and Applications, 15–26, Yokohama Publ., Yokohama, 2004.
• Approximating fixed points of weak contractions using the Picard iteration
  Berinde, Vasile
  Nonlinear Anal. Forum 9 (2004), no. 1, 43–53.
• A common fixed point theorem for nonself mappings
  Berinde, Vasile
  Miskolc Math. Notes 5 (2004), no. 2, 137–144.
• Picard iteration converges faster than Mann iteration for a class of quasi-contractive operators
  Berinde, Vasile
  Fixed Point Theory Appl. (2004), no. 2, 97–105.
• Approximation of fixed points of some nonself generalized ϕ-contractions
  Berinde, Vasile
  Math. Balkanica (N.S.) 18 (2004), no. 1-2, 85–93.
• On the convergence of the Ishikawa iteration in the class of quasi contractive operators
  Berinde, V.
  Acta Math. Univ. Comenian. (N.S.) 73 (2004), no. 1, 119–126.

2003

• A common fixed point theorem for quasi contractive type mappings
  Berinde, Vasile
  Ann. Univ. Sci. Budapest. Eötvös Sect. Math. 46 (2003), 101–110.
• On the approximation of fixed points of weak contractive mappings
  Berinde, Vasile
  Carpathian J. Math. 19 (2003), no. 1, 7–22.
• Professor Iulian Coroian at his 65th anniversary
  Berinde, Vasile
  Carpathian J. Math. 19 (2003), no. 1, i–vi.
• Summable almost stability of fixed point iteration procedures
  Berinde, Vasile
  Carpathian J. Math. 19 (2003), no. 2, 81–88.
• Y. L. Nosenko (1941–2003)
  Berinde, Vasile
  Carpathian J. Math. 19 (2003), no. 2, vii–xi.
• Approximating fixed points of weak ϕ-contractions using the Picard iteration
  Berinde, Vasile
  Fixed Point Theory 4 (2003), no. 2, 131–142.

2002

• On the stability of some fixed point procedures
  Berinde, Vasile
  Bul. Ştiinţ. Univ. Baia Mare Ser. B Fasc. Mat.-Inform. 18 (2002), no. 1, 7–14.
• Iterative approximation of fixed points for pseudo-contractive operators
  Berinde, Vasile
  Semin. Fixed Point Theory Cluj-Napoca 3 (2002), 209–215.
• Approximating fixed points of Lipschitzian generalized pseudo-contractions
  Berinde, Vasile
  World Scientific Publishing Co., Inc., River Edge, NJ, 2002, 73–81.

2001

• The Romanian Mathematical Society(Societatea de Stiinte Matematice din Romania)
  Berinde, Mădălina; Berinde, Vasile
  European Mathematical Society Newsletter, No. 40, June 2001, 20-2

2000

• The generalized ratio test revisited
  Berinde, Vasile
  Bul. Ştiinţ. Univ. Baia Mare Ser. B Fasc. Mat.-Inform. 16 (2000), no. 2, 303–306.
• Ass. Prof. Maria Sanziana Pop at her 60th anniversary
  Berinde, Vasile
  Bul. Ştiinţ. Univ. Baia Mare Ser. B Fasc. Mat.-Inform. 16 (2000), no. 2, i–viii.
• On a method for ordering the vertices of molecular graphs
  Berinde, Zoita; Balog, Laszlo; Berinde, Vasile
  University of Technology Košice, Faculty of Electrical Engineering and Informatics, Košice, 2000, 23–30.
• Error estimates for some Newton-type methods obtained by fixed point techniques
  Berinde, Vasile
  University of Technology Košice, Faculty of Electrical Engineering and Informatics, Košice, 2000, 19–22.

1999

• Generalized contractions for solving right focal point boundary value problems
  Berinde, Vasile
  Studia Univ. Babeş-Bolyai Math. 44 (1999), no. 2, 3–9.
• Iterative dynamic programming—a new solution for optimization problems
  Silaghi, Marius-Călin; Berinde, Vasile
  Bul. Ştiinţ. Univ. Baia Mare Ser. B 15 (1999), no. 1-2, 117–125.
• Fixed point theorems for nonexpansive operators on nonconvex sets
  Berinde, Vasile
  Bul. Ştiinţ. Univ. Baia Mare Ser. B 15 (1999), no. 1-2, 27–31.
• A method for solving second order difference equations
  Berinde, Vasile
  Gordon and Breach Science Publishers, Amsterdam, 1999, 41–48.
• Weak smoothness conditions and the Newton’s method
  Berinde, Vasile
  Nova Science Publishers, Inc., Commack, NY, 1999, 1–8.

1998

• A new method for ordering the vertices of molecular graphs
  Berinde, Zoiţa; Berinde, Vasile
  Bul. Ştiinţ. Univ. Baia Mare Ser. B 14 (1998), no. 1, 103–110.

1997

• On some exit criteria for the Newton method
  Berinde, Vasile
  Novi Sad J. Math. 27 (1997), no. 1, 19–26.
• On the extended Newton’s method
  Berinde, Vasile
  Gordon and Breach Science Publishers, Amsterdam, 1997, 81–88.

1996

• Sequences of operators and fixed points in quasimetric spaces
  Berinde, Vasile
  Studia Univ. Babeş-Bolyai Math. 41 (1996), no. 4, 23–27.

1995

• Remarks on the convergence of the Newton-Raphson method
  Berinde, Vasile
  Rev. Anal. Numér. Théor. Approx. 24 (1995), no. 1-2, 15–21.
• On the generalized ratio test
  Berinde, Vasile; Sandor, Josif
  Bul. Ştiinţ. Univ. Baia Mare Ser. B 11 (1995), no. 1-2, 55–58.
• Generalized contractions and higher order hyperbolic partial differential equations
  Berinde, Vasile
  Bul. Ştiinţ. Univ. Baia Mare Ser. B 11 (1995), no. 1-2, 39–54.
• Conditions for the convergence of the Newton method
  Berinde, Vasile
  An. Ştiinţ. Univ. Ovidius Constanţa Ser. Mat. 3 (1995), no. 1, 22–28.

1994

• An elementary geometric construction performed by a computer
  Berinde, Vasile; Cosma, Ovidiu
  Bul. Ştiinţ. Univ. Baia Mare Ser. B 10 (1994), no. 1-2, 99–107.
• Error estimates for a class of $(\delta,\varphi)$-contractions
  Berinde, Vasile
  Preprint, 94-3 „Babeş-Bolyai” University, Faculty of Mathematics and Computer Science, Cluj-Napoca, 1994, 3–9.
• On a homeomorphism theorem
  Berinde, Vasile
  Bul. Ştiinţ. Univ. Baia Mare Ser. B 10 (1994), no. 1-2, 73–78.
• A fixed point theorem for mapping with contracting orbital diameters
  Berinde, Vasile
  Bul. Ştiinţ. Univ. Baia Mare Ser. B 10 (1994), no. 1-2, 29–38.
• Generalized contractions in σ -complete vector lattices
  Berinde, Vasile
  Zb. Rad. Prirod.-Mat. Fak. Ser. Mat. 24 (1994), no. 2, 31–38.

1993

• Generalized contractions in quasimetric spaces
  Berinde, Vasile
  Preprint, 93-3 „Babeş-Bolyai'” University, Faculty of Mathematics and Computer Science, Cluj-Napoca, 1993, 3–9.
• ϕ-monotone and ϕ-contractive operators in Hilbert spaces
  Berinde, Vasile
  Studia Univ. Babeş-Bolyai Math. 38 (1993), no. 4, 51–58.
• Aplicaţii ale contracţiilor generalizate la rezolvarea sistemelor infinite de ecuaţii diferenţiale ordinare
  Berinde, Vasile
  Analele Univ. Oradea, Fasc. Matematică, 3 (1993), 36-41.
• On an integral equation of Volterra type using a generalized Lipschitz condition
  Berinde, Vasile
  Bul. Stiint. Univ. Baia Mare, Fasc.Mat.-Inf. , 9 (1993), 1-8.
• Generalized contractions in uniform spaces
  Berinde, Vasile
  Bul. Stiint. Univ. Baia Mare, Fasc.Mat.-Inf., 9 (1993), 45-52.

1992

• On the problem of Darboux-Ionescu using a generalized Lipschitz condition
  Berinde, Vasile
  Preprint, 92-3 „Babeş-Bolyai” University, Faculty of Mathematics and Computer Science, Cluj-Napoca, 1992, 19–28.
• Abstract ϕ -contractions which are Picard mappings
  Berinde, V.
  Mathematica (Cluj) 34(57) (1992), no. 2, 107–111.
• A fixed point theorem of Maia type in K -metric spaces
  Berinde, Vasile
  Preprint, 91-3 „Babeş-Bolyai” University, Faculty of Mathematics and Physics, Cluj-Napoca, 1992, 7–14.
• A generalization of the Riemann integral
  Berinde, Vasile
  Bul. Stiint. Univ. Baia Mare, Fasc.Mat.-Inf., 8 (1992), 1-10.
• Asupra unei ecuaţii integrale de tip Fredholm cu o condiţie de tip Lipschitz generalizată
  Berinde, Vasile
  Analele Univ. Oradea, Fasc. Matematica, 2 (1992), 20-26.
• A convolution type proof of the generalized ratio test
  Berinde, Vasile
  Bul. Stiint. Univ. Baia Mare, Fasc. Matem.-Inf., 8 (1992,), 35-40.

1991

• A notion of almost everywhere primitive
  Berinde, Vasile
  Bul. Ştiinţ. Univ. Baia Mare, Ser. B, 7(1991), No. 1-2, 35-42.
• A generalization of d’Alembert’s criterion for positive series. (Une généralization du critère de d’Alembert pour les séries positives.)
  Berinde, Vasile
  Bul. Ştiinţ. Univ. Baia Mare, Ser. B, 7 (1991), No. 1-2, 21-26.
• A fixed point theorem of Maia type in K-metric spaces
  Berinde, Vasile
  Prepr., ”Babeș-Bolyai” Univ., Fac. Math. Phys., Res. Semin. 1991, No. 3, 7-14 (1991).
• O generalizare a criteriului lui D’Alembert şi aplicaţii în teoria punctului fix
  Berinde, Vasile
  Analele Univ. Oradea, Fasc.Matematica, 1 (1991), 51-58.
• Reprezentarea matricială şi posibilităţi de studiu şi generare a izomerilor unei substanţe organice
  Berinde, Zoita; Berinde, Vasile
  Analele Univ. Oradea, Fasc. Fizică-Chimie, 1 (1991), 108-123.

1990

• Error estimates in the approximation of the fixed points for a class of ϕ-contractions
  Berinde, Vasile
  Studia Univ. Babeş-Bolyai Math. 35 (1990), no. 2, 86–89.
• The stability of fixed points for a class of $\varphi$-contractions
  Berinde, Vasile
  Prepr., ”Babeș-Bolyai” Univ., Fac. Math. Phys., Res. Semin. 1990, No. 3, 13-20 (1990).
• On the solutions of a functional equation using Picard mappings
  Berinde, Vasile
  Studia Univ. Babeş-Bolyai Math. 35 (1990), no. 4, 63–69.

1989

• O clasă de funcţii discontinue primitivabile
  Berinde, Vasile
  Gazeta Matematică, 94 (1989), no. 6, 214-220.
• Să propunem probleme de matematică cu ajutorul calculatorului
  Berinde, Vasile
  Gazeta Matematică, 94 (1989), nr. 8-9, 232-236. ??

1985

• A fixed point characterization of the points of discontinuity of a derivative
  Berinde, Vasile
  Prepr., ”Babeș-Bolyai” Univ., Fac. Math. Phys., Res. Semin. 1985, No. 3, 9-14 (1993).
• Câteva identităti combinatoriale
  Berinde, Vasile
  Gazeta Matematică, 90 (1985), no. 6, 186-188.
• Asupra unei probleme de concurs
  Berinde, Vasile
  Gazeta Matematică, 90 (1985), no. 8, 277-278.

1983

• Asupra convergenţei unor procese iterative asociate la o clasă de sisteme liniare (On the convergence of some iterative methods related to a class of linear system)
  Berinde, Vasile
  Bul. Stiint. Inst. Înv. Sup. Baia Mare, seria B, 6 (1983), 26-29.

1981

• Iterative algorithms in the FEM and means for increasing the accuracy of solutions
  Berinde, V.; Petrean, L.
  Bul. Ştiinţ. Inst. Politehn. Cluj-Napoca Ser. Electrotehn.-Energet.-Inform. 24 (1981), 15–20.

2. Books and monographs

• Generalized contractions and applications. (Contracţii generalizate şi aplicaţii.) (Romanian)
  Berinde, Vasile
  Colecţia Universitaria. Baia Mare: Editura Cub Press 22. 168 p. (1997).
• Iterative approximation of fixed points. Second edition
  Berinde, Vasile
  Lecture Notes in Mathematics, 1912. Springer, Berlin, 2007. xvi+322 pp. ISBN: 978-3-540-72233-5; 3-540-72233-5
• Exploring, investigating and discovering in mathematics
  Berinde, Vasile
  Basel: Birkhäuser (ISBN 3-7643-7019-X/pbk). xix, 246 p. (2004).
• Berinde, Vasile (ed.); Păltănea, Eugen (ed.)
  Gazeta Matematică. A bridge over three centuries.
  Bucharest: Romanian Mathematical Society (ISBN 973-0-03549-0/pbk). 199 p. (2004).
• Mathematics competitions in Romania. (English, Romanian)
  Berinde, Vasile; Gavriluţ, Mihai; Horvat-Marc, Andrei
  Baia Mare: Cub Press (ISBN 973-9451-06-3/pbk). 72 p. (2004).
• Romania: the native country of International Mathematical Olympiads. A brief history of Romanian Mathematical Society. 2nd ed.
  Berinde, Vasile
  Baia Mare: Cub Press (ISBN 973-9451-05-5). 62 p. (2004).
• Journals of mathematics education and elementary mathematics in Romania. (English, Romanian)
  Berinde, Vasile; Pop, Maria S.; Şerdean, Vasile; Balazs, Ileana; Ţicală, Cristina
  Baia Mare: Cub Press (ISBN 973-9451-07-1/pbk). 63 p. (2004).
• Romania: the native country of International Mathematical Olympiads. A brief history of Romanian Mathematical Society
  Berinde, Vasile
  Baia Mare: Cub Press. 70 p. (2000).

3. Book chapters

• Caristi-Browder operator theory in distance spaces
  Berinde, Vasile; Rus, Ioan A.
  Elsevier/Academic Press, Amsterdam, 2016, 1–28.
  ISBN: 978-0-12-804295-3
• Iterative approximation of fixed points of single-valued almost contractions
  Berinde, Vasile; Păcurar, Mădălina
  Elsevier/Academic Press, Amsterdam, 2016, 29–97.
  ISBN: 978-0-12-804295-3
• The retraction-displacement condition in the theory of fixed point equation with a convergent iterative algorithm
  Berinde, V.; Petruşel, A.; Rus, I. A.; Şerban, M. A.
  Springer Optim. Appl., 111
  Springer, [Cham], 2016, 75–106.
  ISBN: 978-3-319-31279-8; 978-3-319-31281-1

4. Textbooks

5. Papers in Proceedings