Document Type : Special Issue on Fixed Point Theory


1 Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran

2 LAMDA-RO Laboratory, Department of Mathematics, University of Blida, Algeria


The main objective of the paper is to state newly fixed point theorems for set-valued mappings in the framework of 0-complete partial metric spaces which speak about a location of a fixed point with respect to an initial value of the set-valued mapping by using some $C$-class functions. The results proved herein generalize, modify and unify some recent results of the existing literature. As an application, we provide an existence theorem for a coupled elliptic system subject to various two-point boundary conditions.


Main Subjects

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