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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.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…

math.FA2019★ 5 cited

Fixed point theorems for Kannan type mappings with applications to split feasibility and variational inequality problems

Vasile Berinde, Mădălina Păcurar

The aim of this paper in to introduce a large class of mappings, called {\it enriched Kannan mappings}, that includes all Kannan mappings and some nonexpansive mappings. We study t…

math.FA2019★ 5 cited

Approximating fixed points of enriched nonexpansive mappings by Krasnoselskij iteration in Hilbert spaces

Vasile Berinde

Using the technique of enrichment of contractive type mappings by Krasnoselskij averaging, presented here for the first time, we introduce and study the class of {\it enriched none…