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 θ -F-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. Fin...

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Bibliographic Details
Published in:Mathematics (Basel) 2020-04, Vol.8 (4), p.492
Main Authors: Mohammadi, Babak, Shole Haghighi, Ali Asghar, Khorshidi, Maryam, De la Sen, Manuel, Parvaneh, Vahid
Format: Article
Language:English
Subjects:
Banach spaces
coupled fixed point
fixed point
Fixed points (mathematics)
Integral equations
Mathematical analysis
Mathematics
measure of noncompactness
Partial differential equations
Theorems
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Summary:In this paper, an extension of Darbo’s fixed point theorem via θ -F-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
2227-7390
DOI:10.3390/math8040492