Coupled coincidence point and common coupled fixed point theorems in complex valued metric spaces

Document Type : Research Paper


1 Farhangian University, Shariati Pardis, Sari, Mazandaran Iran

2 Department of Mathematics, Aligarh Muslim University, Aligarh, 202002, India


In this paper, we introduce the concept of a w-compatible mappings and utilize the same to discuss the ideas of coupled coincidence point and coupled point of coincidence for nonlinear contractive mappings in the context of complex valued metric spaces besides proving existence theorems which are following by corresponding unique coupled common fixed point theorems for such mappings. Some illustrative examples are also given to substantiate our newly proved results.


Volume 8, Issue 2
December 2017
Pages 145-158
  • Receive Date: 24 November 2015
  • Revise Date: 04 September 2016
  • Accept Date: 08 December 2016
  • First Publish Date: 01 December 2017