A generalization of Darbo’s theorem with application to the solvability of systems of integral equations

https://doi.org/10.1016/j.cam.2013.09.039Get rights and content
Under an Elsevier user license
open archive

Abstract

In this paper, we give an extension of Darbo’s fixed point theorem associated with measures of noncompactness, and present some results on the existence of coupled fixed points for a class of condensing operators in Banach spaces. Moreover, as an application, we study the problem of existence of solutions for a general system of nonlinear integral equations.

MSC

47H09
47H10
34A12

Keywords

Measure of noncompactness
Modulus of continuity
Coupled fixed point
System of integral equations

Cited by (0)