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


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.


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.


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