Fixed point theorems in WC-Banach algebras and their applications to infinite systems of integral equations-Reference-Cited by-同舟云学术

Fixed point theorems in WC-Banach algebras and their applications to infinite systems of integral equations

Published:2020 Issue:8 Volume:34 Page:2763-2784
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Banaś Józef¹,Krichen Bilel²,Mefteh Bilel²

Affiliation:

1. Department of Nonlinear Analysis, Rzeszów University of Technology, Rzeszów, Poland

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

Abstract

The paper is devoted to prove a few fixed point theorems for operators acting in WC-Banach algebras and satisfying some conditions expressed in terms of a generalized Lipschitz continuity and measures of weak noncompactness. Moreover, the assumptions imposed on the mentioned operators are formulated with help of weak topology and weak sequential continuity. Our fixed point results will be illustrated by proving the existence of solutions of an infinite system of nonlinear integral equations.

Publisher

National Library of Serbia

Subject

General Mathematics

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