Document Type : Research Paper

Authors

• Mohadeseh Paknazar ¹
• Madjid Eshaghi ²
• Seyed Mansour Vaezpour ³

¹ Department of mathematics, Farhangian university, Iran.

² Department of Mathematics, Semnan University, Iran

³ Departement of Mathematics, Amirkabir University of Technology, Iran

Abstract

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. 

Keywords

• complex valued metric spaces
• coupled fixed point
• partially ordered set
• Urysohn integral equations