Coupled fixed point theorems in partially ordered complex valued metric spaces with application

Document Type : Research Paper


1 Department of mathematics, Farhangian university, Iran.

2 Department of Mathematics, Semnan University, Iran

3 Departement of Mathematics, Amirkabir University of Technology, Iran


In this paper, we prove some coupled fixed point theorems for nonlinear contraction type mappings in complete complex valued metric spaces endowed with partial order. We support our results by establishing an illustrative example. Also we give an application of this results to the solution of the Urysohn type integral equations.