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20112021
most citedKrasnoselskij-type algorithms for variational inequality problems and fixed point problems in Banach spaces

3 citations · 3 across the 3 of their papers we have counts for

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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.FA20213 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

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

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

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.FA2011

Coupled fixed point theorems for generalized symmetric Meir--Keeler contractions in ordered metric spaces

Vasile Berinde

In this paper we introduce generalized symmetric Meir-Keeler contractions and prove some coupled fixed point theorems for mixed monotone operators in p…