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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.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.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.GM2016★ 11 cited

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

Mitrofan M. Choban, Vasile Berinde

Two open problems in the fixed point theory of quasi metric spaces posed in [Berinde, V. and Choban, M. M., {\it Generalized distances and their associate metrics. Impact on fixed…

math.GM2016

Multiple fixed point theorems for contractive and Meir-Keeler type mappings defined on partially ordered spaces with a distance

Mitrofan M. Choban, Vasile Berinde

We introduce and study a general concept of multiple fixed point for mappings defined on partially ordered distance spaces in the presence of a contraction type condition and appro…

math.GM2016★ 1 cited

A general concept of multiple fixed point for mappings defined on spaces with a distance

Mitrofan M. Choban, Vasile Berinde

Our main aim in this paper is to introduce a general concept of multidimensional fixed point of a mapping in spaces with distance and establish various multidimensional fixed point…