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An extension of Darbo's fixed point theorem for a class of system of nonlinear integral equations
Journal article   Open access  Peer reviewed

An extension of Darbo's fixed point theorem for a class of system of nonlinear integral equations

Amar Deep, Deepmala, Jamal Rezaei Roshan, Kottakkaran Sooppy Nisar and Thabet Abdeljawad
Advances in difference equations, Vol.2020(1), pp.1-17
09/09/2020
DOI: https://doi.org/10.1186/s13662-020-02936-y

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
We introduce an extension of Darbo's fixed point theorem via a measure of noncompactness in a Banach space. By using our extension we study the existence of a solution for a system of nonlinear integral equations, which is an extended result of (Aghajani and Haghighi in Novi Sad J. Math. 44(1):59-73, 2014). We give an example to show the specified existence results.
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https://doi.org/10.1186/s13662-020-02936-yView
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