# Some coupled fixed point results for set-valued mappings with applications

Volume 4, Issue 1, pp 111-120 Publication Date: 2017-12-17

### Authors

Abdessalem Benterki - LAMDA-RO Laboratory, Department of Mathematics, University of Blida, Algeria.
Mohamed Rouaki - LMP2M Laboratory, University of Medea, Algeria.
Arslan Hojat Ansari - Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran.

### Abstract

This paper deals with the study of coupled fixed point theorems for $\varphi$-pseudo-contractive set-valued mappings without using the mixed $g$-monotone property on the closed ball of partial metric spaces. Generalizations of some well-known results concerning existence and location of coupled fixed points are obtained. These coupled fixed point theorems are applied for obtaining the existence results for an elliptic system.

### Keywords

Coupled fixed point, partial metric space, set-valued mapping, elliptic systems

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