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

被引：0
作者：
Bilel Mefteh
机构：
[1] University of Sfax,Department of Mathematics, Faculty of Sciences of Sfax
来源：
Ricerche di Matematica | 2023年 / 72卷
关键词：
-Banach algebra; Fixed point theorems; Weak topology; Measure of weak noncompactness; Functional integral equations; 47H08; 47H10; 47H30;
D O I：
暂无
中图分类号：
学科分类号：
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
收藏
页码：1007 / 1022
页数：15
相关论文
共 14 条
[1]  
Banas J(2019)On the equivalence of some concepts in the theory of Banach algebras Ann. Funct. Anal. 10 277-283
[2]  
Olszowy L(2014)Fixed points and solutions of operator equations for the weak topology in Banach algebras Taiwan. J. Math. 18 871-893
[3]  
Banas J(2010)New fixed point theorems in Banach algebras under weak topology features and applications to nonlinear integral equations J. Funct. Anal. 259 2215-2237
[4]  
Taoudi MA(2010)Leray–Schauder alternatives for weakly sequentially continuous mappings and application to transport equation Math. Methods Appl. Sci. 33 80-90
[5]  
Ben Amar A(1977)On a property of the unit sphere in Banach spaces Bull. Math. Soc. Sci. Math. Roum. 21 259-262
[6]  
Chouayekh S(1971)On representation of linear operators on Czechoslov. Math. J. 21 13-30
[7]  
Jeribi A(2016)Fixed point theory in WC-Banach algebras Turk. J. Math. 40 283-291
[8]  
Ben Amar A(undefined)undefined undefined undefined undefined-undefined
[9]  
Mnif M(undefined)undefined undefined undefined undefined-undefined
[10]  
De Blasi FS(undefined)undefined undefined undefined undefined-undefined
12