Some local fixed point results under $C$-class functions with applications to coupled elliptic systems
محورهای موضوعی : Fixed point theory
A. Hojat Ansari
1
(Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran)
A. Benterki
2
(LAMDA-RO Laboratory, Department of Mathematics, University of Blida, Algeria)
M. Rouaki
3
(LAMDA-RO Laboratory, Department of Mathematics, University of Blida, Algeria)
کلید واژه: fixed point, set-valued mapping, partial metric space, coupled elliptic system, $C$-class function,
چکیده مقاله :
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.
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