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
收藏
页码：705 / 724
页数：19
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