Hojat Ansari, A., Benterki, A., Rouaki, M. (2018). Some local fixed point results under $C$-class functions with applications to coupled elliptic systems. Journal of Linear and Topological Algebra (JLTA), 07(03), 169-182.

A. Hojat Ansari; A. Benterki; M. Rouaki. "Some local fixed point results under $C$-class functions with applications to coupled elliptic systems". Journal of Linear and Topological Algebra (JLTA), 07, 03, 2018, 169-182.

Hojat Ansari, A., Benterki, A., Rouaki, M. (2018). 'Some local fixed point results under $C$-class functions with applications to coupled elliptic systems', Journal of Linear and Topological Algebra (JLTA), 07(03), pp. 169-182.

Hojat Ansari, A., Benterki, A., Rouaki, M. Some local fixed point results under $C$-class functions with applications to coupled elliptic systems. Journal of Linear and Topological Algebra (JLTA), 2018; 07(03): 169-182.

Some local fixed point results under $C$-class functions with applications to coupled elliptic systems

^{1}Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran

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

Abstract

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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