Document Type : Research Paper

Authors

• Alireza Naeimi Sadigh ¹
• Samaneh Ghods ²

¹ Department of Mathematics, Statistics and Computer science, Semnan University, P.O. Box 35195-363, Semnan, Iran

² Department of Mathematics, Islamic Azad University, Semnan Branch, Semnan, Iran

Abstract

In this paper, we prove some coupled coincidence point theorems for mappings with the mixed monotone property and obtain the uniqueness of this coincidence point. Then we providing useful examples in Nash equilibrium.

Keywords

• Coupled fixed point
• Coupled coincidence Fixed point
• Partially ordered sets
• Cone metric space
• game theory
• Nash equilibrium