SOME FIXED POINT THEOREMS IN GENERALIZED DARBO FIXED POINT THEOREM AND THE EXISTENCE OF SOLUTIONS FOR SYSTEM OF INTEGRAL EQUATIONS

- Journal title : Journal of the Korean Mathematical Society
- Volume 52, Issue 1, 2015, pp.125-139
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/JKMS.2015.52.1.125

Title & Authors

SOME FIXED POINT THEOREMS IN GENERALIZED DARBO FIXED POINT THEOREM AND THE EXISTENCE OF SOLUTIONS FOR SYSTEM OF INTEGRAL EQUATIONS

Arab, Reza;

Arab, Reza;

Abstract

In this paper we introduce the notion of the generalized Darbo fixed point theorem and prove some fixed and coupled fixed point theorems in Banach space via the measure of non-compactness, which generalize the result of Aghajani et al. [6]. Our results generalize, extend, and unify several well-known comparable results in the literature. One of the applications of our main result is to prove the existence of solutions for the system of integral equations.

Keywords

measure of noncompactness;fixed point;coupled fixed point;system of integral equations;

Language

English

Cited by

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