Existence of solutions of a nonlinear integral equations in a WC-Banach algebra

被引：0

作者：

Mefteh, Bilel ^{[1
]}

机构：

[1] Univ Sfax, Fac Sci Sfax, Dept Math, Soukra Rd Km 3-5,BP 1171, Sfax 3000, Tunisia

来源：

RICERCHE DI MATEMATICA | 2023年 / 72卷 / 02期

关键词：

WC-Banach algebra; Fixed point theorems; Weak topology; Measure of weak noncompactness; Functional integral equations;

D O I：

10.1007/s11587-021-00618-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper is devoted to prove the existence of solutions of a nonlinear integral equation in a WC-Banach algebra. Making use of the measure of weak noncompactness and the weak topology, we prove some fixed point theorems for operators not necessarily weakly sequentially continuous acting in WC-Banach algebra involving weakly compact operators.

引用

页码：1007 / 1022

页数：16

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