Vasile Berinde

Geometry and Topology · 2003–2020

A researcher in the Science corpus: 17 papers; trusts 27 researchers and is trusted by 37 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 60 citations into it; #549 of 7,422 by trust here, #483 by citations
• Computational Theory and Mathematics — 29 citations into it; #1,024 of 12,182 by trust here, #1,409 by citations
• Numerical Analysis — 20 citations into it
• Applied Mathematics — 8 citations into it

Whom Vasile Berinde trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Charles E. Chidume
2. J. J. Nieto
3. T. Gnana Bhaskar
4. G. Babu
5. Rosana Rodríguez-López
6. V. Lakshmikantham
7. Ravi P. Agarwal
8. Ioan A. Rus
9. Wataru Takahashi
10. Tomonari Suzuki

Who trusts Vasile Berinde overall

1. Ovidiu Popescu
2. Florin Bojor
3. E. Karapınar
4. G. Babu
5. M. Berinde
6. Wei-Shih Du
7. Faik Gursoy
8. Ishak Altun
9. Vatan Karakaya
10. Francesca Vetro

Papers from Vasile Berinde's perspective

Ordered by how strongly the researchers Vasile Berinde trusts endorse each paper. Same corpus, a different order for every researcher.

1. A fixed point theorem in partially ordered sets and some applications to matrix equations
2. Fixed point theorems in partially ordered metric spaces and applications
3. Generalized contractions in partially ordered metric spaces
4. Existence and Uniqueness of Fixed Point in Partially Ordered Sets and Applications to Ordinary Differential Equations
5. Theory and Applications of Fractional Differential Equations
6. Common fixed point results for noncommuting mappings without continuity in cone metric spaces
7. Data dependence of the fixed point set of some multivalued weakly Picard operators
8. Picard iteration converges faster than Mann iteration for a class of quasi-contractive operators
9. Mann iteration converges faster than Ishikawa iteration for the class of Zamfirescu operators
10. APPROXIMATING FIXED POINTS OF WEAK '-CONTRACTIONS USING THE PICARD ITERATION

Their papers

• Iterative Approximation of Fixed Points (2007) — 1,066 citations
• Picard iteration converges faster than Mann iteration for a class of quasi-contractive operators (2004) — 90 citations
• On a general class of multi-valued weakly Picard mappings (2007) — 273 citations
• Approximating fixed points of enriched nonexpansive mappings in Banach spaces by using a retraction-displacement condition (2020) — 46 citations
• Approximating fixed points of enriched contractions in Banach spaces (2019) — 133 citations
• Approximating fixed points of enriched nonexpansive mappings by Krasnoselskij iteration in Hilbert spaces (2019) — 96 citations
• QUADRUPLE FIXED POINT THEOREMS FOR NONLINEAR CONTRACTIONS IN PARTIALLY ORDERED METRIC SPACES (2012) — 76 citations
• Common fixed points of mappings satisfying implicit contractive conditions (2012) — 83 citations
• Generalized coupled fixed point theorems for mixed monotone mappings in partially ordered metric spaces (2011) — 218 citations
• Coupled fixed point theorems for $\phi$-contractive mixed monotone mappings in partially ordered metric spaces (2011) — 98 citations
• Tripled fixed point theorems for contractive type mappings in partially ordered metric spaces (2011) — 406 citations
• Existence and approximation of solutions of some first order iterative differential equations (2010) — 49 citations
• APPROXIMATING COMMON FIXED POINTS OF NONCOMMUTING ALMOST CONTRACTIONS IN METRIC SPACES (2010) — 51 citations
• FIXED POINTS AND CONTINUITY OF ALMOST CONTRACTIONS (2008) — 71 citations
• ON THE CONVERGENCE OF THE ISHIKAWA ITERATION IN THE CLASS OF QUASI CONTRACTIVE OPERATORS (2004) — 156 citations
• APPROXIMATING FIXED POINTS OF WEAK '-CONTRACTIONS USING THE PICARD ITERATION (2003) — 372 citations
• On the approximation of fixed points of weak contractive mappings (2003) — 183 citations