Common fixed point theorems in complex valued b- metric spaces
Abstract
Rao et al. [5] introduced the notion of complex valued b-metric spaces which is more general than the well-known complex valued metric spaces. In this context, some common fixed point theorems for a pair of mapping satisfying certain rational contractions in the frame work of complex valued b- metric spaces are proved which generalize fixed point theorems due to Azam et al. [1], Rouzkard et al. [3], Mukheimer [2] and Nashine et al. [4]. To substantiate our results and to distinguish them from the existing ones, we furnish the paper with suitable examples.
Copyright © 2015 Deepak Singh, O.P. Chauhan, Naval Singh, Vishal Joshi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
D. Singh, O. P. Chauhan, N. Singh, V. Joshi, Common fixed point theorems in complex valued b- metric spaces, J. Math. Comput. Sci. 5 (2015), 412–429.
BibTeX
@article{Singh2015,
author = {Singh, Deepak and Chauhan, O.P. and Singh, Naval and Joshi, Vishal},
title = {Common fixed point theorems in complex valued b- metric spaces},
journal = {J. Math. Comput. Sci.},
volume = {5},
year = {2015},
pages = {412--429},
doi = {}
}