Coupled common fixed point theorems in partially ordered G-metric spaces for nonlinear contractions

Abstract

The aim of this paper is to prove coupled coincidence and coupled common fixed point theorems for a mixed ɡ-monotone mapping satisfying nonlinear contractive conditions in the setting of partially ordered G-metric spaces. Present theorems are true generalizations of the recent results of Choudhury and Maity [Math Comput. Modelling 54 (2011), 73-79], and Luong and Thuan [Math. Comput. Modelling 55 (2012), 1601-1609].

Keywords

• Partially ordered set
• G-metric space
• coupled coincidence point
• coupled common fixed point
• mixed monotone mappings