Some coupled fixed point results for set­valued mappings with applications

Document Type : Original Article

Authors

1 LAMDA-RO Laboratory, Department of Mathematics, University of Blida, Algeria.

2 Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran.

Abstract

This paper deals with the study of coupled fixed point theorems for φ-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


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