An Extension of Darbo Fixed Point Theorem and its Applications to Coupled Fixed Point and Integral Equations

被引：26

作者：

Samadi, A. ^{[1
]}

Ghaemi, M. B. ^{[1
]}

机构：

[1] Islamic Azad Univ, Coll Basic Sci, Dept Math, Karaj Branch, Alborz, Iran

来源：

FILOMAT | 2014年 / 28卷 / 04期

关键词：

Measure of noncompactness; Darbo fixed point theorem; Schauder fixed point theorem; Coupled fixed point; Integral equation; NONLINEAR CONTRACTIONS;

D O I：

10.2298/FIL1404879S

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, an extension of Darbo fixed point theorem is introduced. By applying our extension, we obtain a coupled fixed point theorem and a solution for an integral equation. The proofs of our results are based on the technique of measure of noncompactness.

引用

页码：879 / 886

页数：8

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