New fixed point theorems in Banach algebras under weak topology features and applications to nonlinear integral equations

被引：38

作者：

Ben Amar, Afif ^{[1
]}

Chouayekh, Soufiene ^{[2
]}

Jeribi, Aref ^{[2
]}

机构：

[1] Univ Gafsa, Fac Sci Gafsa, Dept Math, Gafsa 2112, Tunisia

[2] Univ Sfax, Dept Math, Fac Sci Sfax, Sfax 3000, Tunisia

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2010年 / 259卷 / 09期

关键词：

Banach algebra; Fixed point theorems; Sequentially weakly continuous; Integral equations; Differential equations;

D O I：

10.1016/j.jfa.2010.06.016

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce a class of Banach algebras satisfying certain sequential condition (P) and we prove fixed point theorems for the sum and the product of nonlinear weakly sequentially continuous operators. Later on, we give some examples of applications of these types of results to the existence of solutions of nonlinear integral equations in Banach algebras. (C) 2010 Elsevier Inc. All rights reserved

引用

页码：2215 / 2237

页数：23

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