Research Article
Weakly Compatible Maps in Complex Valued G- Metric Spaces
|
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
|
| Volume 101 - Issue 10 |
| Published: September 2014 |
| Authors: S Mudgal |
10.5120/17726-8179
|
S Mudgal . Weakly Compatible Maps in Complex Valued G- Metric Spaces. International Journal of Computer Applications. 101, 10 (September 2014), 35-38. DOI=10.5120/17726-8179
@article{ 10.5120/17726-8179,
author = { S Mudgal },
title = { Weakly Compatible Maps in Complex Valued G- Metric Spaces },
journal = { International Journal of Computer Applications },
year = { 2014 },
volume = { 101 },
number = { 10 },
pages = { 35-38 },
doi = { 10.5120/17726-8179 },
publisher = { Foundation of Computer Science (FCS), NY, USA }
}
%0 Journal Article
%D 2014
%A S Mudgal
%T Weakly Compatible Maps in Complex Valued G- Metric Spaces%T
%J International Journal of Computer Applications
%V 101
%N 10
%P 35-38
%R 10.5120/17726-8179
%I Foundation of Computer Science (FCS), NY, USA
Abstract
In this paper, we introduce the notion of complex valued G-metric spaces and prove a common fixed point theorem for weakly compatible maps in this newly defined spaces.
References
- Azam, A Fisfer, B, Khan, M: Common fixed point theorems in complex valued metric Spaces. Number. Funct. Anal. Optim. . 32(3), 243-253 (2011).
- B. C. Dhage, Generalized metric spaces and mappings with fixed point, Bull. Calcutt Math. Soc. 84 (1992), 329-336.
- B. C. Dhage, " On generalized metric spaces and topological structure. II," Pure and applied Mathematika Sciences, Vol. 40, no. 1-2,pp. 37-41,1994.
- B. C. Dhage, " A common fixed point principle in D-metric spaces. " Bulletin of the Calcutta Mathematical Society, vol. 91, no. 6, pp. 475-480, 1999.
- B. C. Dhage, " Generalized metric spaces and topological structure I," Annalele Stintifice ale Universitatii Al. l Cuza, vol. 46, no. 1, pp. 3-24, 2000.
- Balbir Singh, Vishal Gupta and Sanjay Kumar, " Contraction Principle in Complex valued G-metric spaces" Journal of Complex system (under communication).
- G. Jungck, Common fixed point for non continuous non self mappings on non metric Spaces, Far East J. Math. Sci. 4(2) (1996), 199-212.
- Z. Mustafa and B. Sims, Some remarks concering D-metric spaces, Proceedings of International Conference on Fixed Point Theory and applications, Yokohama Publishers Valencia Spain, July 13-19(2004), 189-198.
- Z. Mustafa and B. Sims, A new approach to a generalised metric spaces, J. Nonlinear Convex Anal. , 7(2006), 289-297.
Index Terms
Keywords