FIXED POINT THEOREMS FOR CONVEX-POWER CONDENSING OPERATORS IN BANACH ALGEBRA

被引：0

作者：

Amor, Sana Hadj ^{[1
]}

Traiki, Abdelhak ^{[1
]}

机构：

[1] Univ Sousse, Higher Sch Sci & Technol, Dept Math, Sousse, Tunisia

来源：

JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS | 2022年 / 34卷 / 01期

关键词：

fixed point theorems; measure of noncompactness; convex-power condensing operator; equation of Volterra type; INTEGRAL-EQUATIONS; EXISTENCE; SCHAUDER; SUM;

D O I：

10.1216/jie.2022.34.59

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce the concept of a convex-power condensing mapping A.B + C in a Banach algebra relative to a measure of noncompactness as a generalization of condensing and convex-power condensing mappings. We present new fixed point theorems, and we apply these results to investigate the existence of solutions for a nonlinear hybrid integral equation of Volterra type.

引用

页码：59 / 73

页数：15

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