Existence of Solutions for a System of Integral Equations Using a Generalization of Darbo’s Fixed Point Theorem

Existence of Solutions for a System of Integral Equations Using a Generalization of Darbo’s Fixed Point Theorem

In this paper, an extension of Darbo’s fixed point theorem via <inline-formula> <math display="inline"> <semantics> <mi>θ</mi> </semantics> </math> </inline-formula>-<i>F</i>-contractions in a Banach space has been presented. Meas...

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Bibliographic Details
Main Authors: Babak Mohammadi, Ali Asghar Shole Haghighi, Maryam Khorshidi, Manuel De la Sen, Vahid Parvaneh
Format: Article
Language:English
Published: MDPI AG 2020-04-01
Series:Mathematics
Subjects:
fixed point
measure of noncompactness
coupled fixed point
integral equations
Online Access:https://www.mdpi.com/2227-7390/8/4/492
Description
Summary:In this paper, an extension of Darbo’s fixed point theorem via <inline-formula> <math display="inline"> <semantics> <mi>θ</mi> </semantics> </math> </inline-formula>-<i>F</i>-contractions in a Banach space has been presented. Measure of noncompactness approach is the main tool in the presentation of our proofs. As an application, we study the existence of solutions for a system of integral equations. Finally, we present a concrete example to support the effectiveness of our results.
ISSN:2227-7390

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