Common Fixed Point Theorems via Measure of Noncompactness

In this paper, by applying the measure of noncompactness a common fixed point for the maps T and S is obtained, where T and S are self-maps continuous, commuting continuously on a closed convex subset C of a Banach space E and also S is a linear map. Then as an application, the existence of a solution of an integral equation is shown.

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Publication Details

Journal
Annals of Mathematics and Physics
Published
2024-12-31
DOI
https://doi.org/10.17352/amp.000138
Primary Topic
Advanced Differential Equations and Dynamical Systems
Type
article
Field-Weighted Citation Impact
0.00
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article

Common Fixed Point Theorems via Measure of Noncompactness

Alireza Valipour Baboli
Annals of Mathematics and Physics
Advanced Differential Equations and Dynamical Systems
article

Common Fixed Point Theorems via Measure of Noncompactness

Alireza Valipour Baboli
article en

Abstract

In this paper, by applying the measure of noncompactness a common fixed point for the maps T and S is obtained, where T and S are self-maps continuous, commuting continuously on a closed convex subset C of a Banach space E and also S is a linear map. Then as an application, the existence of a solution of an integral equation is shown.

Annals of Mathematics and PhysicsVol. 7(3)
University of Mazandaran (IR)
Openalex Percentile: Top 62%
Advanced Differential Equations and Dynamical Systems
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Common Fixed Point Theorems via Measure of Noncompactness — Alireza Valipour Baboli · Annals of Mathematics and Physics (2024) | TGRS Research Map | TGRS