Simulation functions and Meir-Keeler condensing operators with application to integral equations

被引：1

作者：

Gabeleh, Moosa ^{[1
]}

Asadi, Mehdi ^{[2
]}

Patle, Pradip Ramesh ^{[3
]}

机构：

[1] Ayatollah Boroujerdi Univ, Dept Math, Boroujerd, Iran

[2] Islamic Azad Univ, Dept Math, Zanjan Branch, Zanjan, Iran

[3] Amity Univ, Dept Math ASET, Gwalior 474020, India

来源：

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS | 2022年 / 15卷 / 09期

关键词：

Fixed point; measure of non-compactness; simulation function; integral equation; FIXED-POINT THEOREMS; PROXIMITY POINTS; G-CONTRACTIONS; METRIC SPACE; EXTENSION;

D O I：

10.1142/S1793557122501716

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We propose a new concept of condensing operators by using a notion of measure of non-compactness in the setting of Banach spaces and establish a new generalization of Darbo's fixed point theorem. We also show the applicability of our results to integral equations. A concrete example will be presented to support the application part.

引用

页数：15

共 50 条

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