Some New Generalization of Darbo's Fixed Point Theorem and Its Application on Integral Equations

被引：30

作者：

Das, Anupam ^{[1
]}

Hazarika, Bipan ^{[1
,2
]}

Kumam, Poom ^{[3
]}

机构：

[1] Rajiv Gandhi Univ, Dept Math, Rono Hills, Doimukh 791112, Arunachal Prade, India

[2] Gauhati Univ, Dept Math, Gauhati 781014, Assam, India

[3] KMUTT, Fac Sci, Dept Math, MUTTFixed Point Res Lab, Room SCL 802 Fixed Point Lab,Sci Lab Bldg, Bangkok 10140, Thailand

来源：

MATHEMATICS | 2019年 / 7卷 / 03期

关键词：

measure of noncompactness; functional integral equations; Darbo fixed point theorem; EXISTENCE; SYSTEMS;

D O I：

10.3390/math7030214

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we propose some new fixed point theorem involving measure of noncompactness and control function. Further, we prove the existence of a solution of functional integral equations in two variables by using this fixed point theorem in Banach Algebra, and also illustrate the results with the help of an example.

引用

页数：9

共 17 条

[1]

AGARWAL RP, 2004, FIXED POINT THEORY A, V169

[2] A generalization of Darbo's theorem with application to the solvability of systems of integral equations [J].