Measure of noncompactness and JS-Preˇsi´c fixed point theorems and its applications to a system of integral equations

Ali farajzadeh, Mohsen Parvaneh

Abstract


In this paper, we gain a new extension of well-known Darbo’s fixed point theorem in a Banach
space. Our results provide several expressions which all are generalizations of Darbo’s fixed point theorem.
As applications, we obtain some Preˇsi´c type extensions of Darbo fixed point theorem which help us in the
studying of the existence of solution for a system of functional integral equations in BC(R+). Finally, we
provided an example to demonstrate the efficacy of our results.
1. Introduction


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