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20112024
most citedTwo open problems in the fixed point theory of contractive type mappings on first-countable quasimetric spaces

11 citations · 36 across the 19 of their papers we have counts for

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math.FA2024

Recent developments in the fixed point theory of enriched contractive mappings. A survey

Vasile Berinde, Mădălina Păcurar

The aim of this note is threefold: first, to present a few relevant facts about the way in which the technique of enriching contractive mappings was introduced; secondly, to expose…

math.FA2021

Fixed points theorems for unsaturated and saturated classes of contractive mappings in Banach spaces

Vasile Berinde, Madalina Pacurar

Based on the technique of enriching contractive type mappings, a technique that has been used successfully in some recent papers, we introduce the concept of {\it saturated} class…

math.FA2021★ 3 cited

Krasnoselskij-type algorithms for variational inequality problems and fixed point problems in Banach spaces

Vasile Berinde, Madalina Pacurar

Existence and uniqueness as well as the iterative approximation of fixed points of enriched almost contractions in Banach spaces are studied. The obtained results are generalizatio…

math.FA2019★ 8 cited

Approximating fixed points of enriched Chatterjea contractions by Krasnoselskij iterative method in Banach spaces

Vasile Berinde, Mădălina Păcurar

Using the technique of enrichment of contractive type mappings by Krasnoselskij averaging, introduced in [Berinde, V., {\it Approximating fixed points of enriched nonexpansive mapp…

math.FA2019★ 2 cited

Weak and strong convergence theorems for enriched strictly pseudocontractive operators in Hilbert spaces

Vasile Berinde

In this paper, we introduce and study the class of {\it enriched strictly pseudocontractive mappings} in Hilbert spaces and extend the corresponding convergence theorem (Theorem 12…

math.FA2019

Approximating fixed points of enriched contractions in Banach spaces

Vasile Berinde, Mădălina Păcurar

We introduce a large class of mappings, called enriched contractions, which includes, amongst many other contractive type mappings, the Picard-Banach contractions and some nonexpan…