FIXED POINT THEOREMS FOR MEIR-KEELER CONDENSING OPERATORS VIA MEASURE OF NONCOMPACTNESS

被引：110

作者：

Aghajani, A. ^{[1
]}

Mursaleen, M. ^{[2
]}

Haghighi, A. Shole ^{[3
]}

机构：

[1] Iran Univ Sci & Technol, Sch Math, Narmak, Iran

[2] Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India

[3] Islamic Azad Univ, Karaj Branch, Dept Math, Alborz, Iran

来源：

ACTA MATHEMATICA SCIENTIA | 2015年 / 35卷 / 03期

关键词：

Measure of noncompactness; Darbo fixed point theorem; couple fixed point; Meir-Keeler condensing operator; Volterra integral equation; ASYMPTOTIC STABILITY; INTEGRAL-EQUATION; EXISTENCE; CONTRACTIONS;

D O I：

10.1016/S0252-9602(15)30003-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we introduce the notion of Meir-Keleer condensing operator in a Banach space, a characterization using L-functions and provide a few generalization of Darbo fixed point theorem. Also, we introduce the concept of a bivariate Meir-Keleer condensing operator and prove some coupled fixed point theorems. As an application, we prove the existence of solutions for a large class of functional integral equations of Volterra type in two variables.

引用

页码：552 / 566

页数：15

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