Darbo type fixed and coupled fixed point results and its application to integral equation

被引：22

作者：

Nashine, Hemant K. ^{[1
]}

Arab, Reza ^{[2
]}

Agarwal, Ravi P. ^{[1
]}

Haghighi, Ali Shole ^{[2
]}

机构：

[1] Texas A&M Univ, Dept Math, Kingsville, TX 78363 USA

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

来源：

PERIODICA MATHEMATICA HUNGARICA | 2018年 / 77卷 / 01期

关键词：

Fixed point; Coupled fixed point; Measure of noncompactness; Functional-integral equations; EXISTENCE; NONCOMPACTNESS; THEOREM; SYSTEMS;

D O I：

10.1007/s10998-017-0223-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We propose two new notion of contraction mappings involving measure of noncompactness in the frame work of Banach space and derive some basic Darbo type fixed and coupled fixed point results. The results are correlated with the classical Banach fixed point theorems. Further we show the applicability of obtained results to the theory of integral equations following a concrete example which illustrate the application part.

引用

页码：94 / 107

页数：14

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