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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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20 papers

math.GM2024

New averaged type algorithms for solving split common fixed-point problem for demicontractive mappings

Vasile Berinde, Khairul Saleh

In this paper we propose new averaged iterative algorithms designed for solving a split common fixed-point problem in the class of demicontractive mappings. The algorithms are obta…

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.GM2024

Existence and approximation of fixed points of enriched contractions in quasi-Banach spaces

Vasile Berinde

We obtain results on the existence and approximation of fixed points of enriched contractions in quasi-Banach spaces and thus extend the results obtained in the case of contraction…

math.GM2024

On a useful lemma that relates quasi-nonexpansive and demicontractive mappings in Hilbert spaces

Vasile Berinde

We give a brief account on a basic result (Lemma \ref{lem2}) which is a very useful tool in proving various convergence theorems in the framework of the iterative approximation of…

math.OC2024

An inertial self-adaptive algorithm for solving split feasibility problems and fixed point problems in the class of demicontractive mappings

Vasile Berinde

We propose a hybrid inertial self-adaptive algorithm for solving the split feasibility problem and fixed point problem in the class of demicontractive mappings. Our results are ver…

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…