Generalized form of fixed-point theorems in generalized Banach algebra relative to the weak topology with an application-Reference-Cited by-同舟云学术

Generalized form of fixed-point theorems in generalized Banach algebra relative to the weak topology with an application

Published:2022 Issue:18 Volume:36 Page:6253-6268
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Jeribi Aref¹,Kaddachi Najib²,Laouar Zahra²

Affiliation:

1. Department of Mathematics. University of Sfax. Faculty of Sciences of Sfax, Sfax, Tunisia

2. Department of Mathematics, University of Sfax, Faculty of Sciences of Sfax, Sfax, Tunisia

Abstract

In this paper, a general hybrid fixed point theorem for the contractive mappings in generalized Banach spaces is proved via measure of weak non-compactness and it is further applied to fractional integral equations for proving the existence results for the solutions under mixed Lipschitz and weakly sequentially continuous conditions. Finally, an example is given to illustrate the result.

Publisher

National Library of Serbia

Subject

General Mathematics

Reference33 articles.

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