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

Author(s):

Fayyaz Rouzkard * , Mohammad Imdad

Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
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.
Keywords:

Common fixed point , Contractive type mapping , coupled coincidence point , coupled point of coincidence , Complex valued metric space

Language:
English
Published:
International Journal Of Nonlinear Analysis And Applications, Volume:8 Issue: 2, Winter - Spring 2017
Pages:
145 to 158
https://www.magiran.com/p1782639