Fixed point theory in a new class of banach algebras and application

被引：20

作者：

Amar A.B. ^{[1
]}

Chouayekh S. ^{[1
]}

Jeribi A. ^{[1
]}

机构：

[1] Département de Mathématiques, Université de Sfax, Route de Soukra, Km 3,5, B.P. 1171

来源：

Afrika Matematika | 2013年 / 24卷 / 4期

关键词：

Fixed-point theorems; Integral equations; Measure of weak non-compactness; Sequentially weakly continuous operators;

D O I：

10.1007/s13370-012-0076-8

中图分类号：

学科分类号：

摘要：

We introduce a new class of Banach algebras satisfying a certain sequential condition (P) and we prove a new variant of fixed-point theorems for the sum and the product of nonlinear sequentially weakly continuous and weakly condensing operators. Later on, as an application, we will give a generalized example of obtained results to prove the existence of solutions of nonlinear integral equation. Our results are formulated in terms of De Blasi measure of weak non-compactness. © 2012 African Mathematical Union and Springer-Verlag.

引用

页码：705 / 724

页数：19

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