Coupled coincidence point in ordered cone metric spaces with examples in game theory

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
10.22075/ijnaa.2015.305
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
International Journal of Nonlinear Analysis and Applications
Volume 7, Issue 1 - Serial Number 1
January 2016
Pages 183-194

  • Receive Date 08 December 2014
  • Revise Date 15 April 2015
  • Accept Date 19 August 2015

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