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

页码：1007 / 1022

页数：15

共 50 条

[1] Existence of solutions of a nonlinear integral equations in a WC-Banach algebra
Mefteh, Bilel
[J]. RICERCHE DI MATEMATICA, 2023, 72 (02) : 1007 - 1022
[2] On the Existence of Weak Solutions of Nonlinear Integral Equations in Banach Spaces
Li, Baolin
Gou, Haide
[J]. MEDITERRANEAN JOURNAL OF MATHEMATICS, 2016, 13 (05) : 2633 - 2643
[3] THE EXISTENCE OF SOLUTIONS OF NONLINEAR FREDHOLM INTEGRAL EQUATIONS IN BANACH SPACES
闫宝强
史国良
[J]. Acta Mathematica Scientia, 1998, (S1) : 114 - 119
[4] On the Existence of Weak Solutions of Nonlinear Integral Equations in Banach Spaces
Baolin Li
Haide Gou
[J]. Mediterranean Journal of Mathematics, 2016, 13 : 2633 - 2643
[5] Existence results for nonlinear quadratic integral equations of fractional order in Banach algebra
El-Sayed, Ahmed
Hashem, Hind
[J]. FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2013, 16 (04) : 816 - 826
[6] Existence results for nonlinear quadratic integral equations of fractional order in Banach algebra
Ahmed El-Sayed
Hind Hashem
[J]. Fractional Calculus and Applied Analysis, 2013, 16 : 816 - 826
[7] Fixed Point Theorems in WC-Banach Algebras and Their Applications to Infinite Systems of Integral Equations
Banas, Jozef
Krichen, Bilel
Mefteh, Bilel
[J]. FILOMAT, 2020, 34 (08) : 2763 - 2784
[8] Existence of Solutions to Nonlinear Impulsive Volterra Integral Equations in Banach Spaces
陈芳启
田瑞兰
[J]. Transactions of Tianjin University, 2005, (02) : 152 - 155
[9] Existence of solutions for nonlinear impulsive Hammerstein integral equations in Banach spaces
Fangqi C.
Yushu C.
[J]. Applied Mathematics and Mechanics, 2000, 21 (2) : 123 - 132
[10] EXISTENCE OF SOLUTIONS FOR NONLINEAR IMPULSIVE HAMMERSTEIN INTEGRAL EQUATIONS IN BANACH SPACES
陈芳启
陈予恕
[J]. Applied Mathematics and Mechanics(English Edition), 2000, (02) : 123 - 132

← 1 2 3 4 5 →