Research Article
Coupled Fixed Point Theorems under Nonlinear Contractive Conditions in G – Metric spaces
|
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
|
| Volume 86 - Issue 18 |
| Published: January 2014 |
| Authors: Hans Raj, Nawneet Hooda |
10.5120/15082-3359
|
Hans Raj, Nawneet Hooda . Coupled Fixed Point Theorems under Nonlinear Contractive Conditions in G – Metric spaces. International Journal of Computer Applications. 86, 18 (January 2014), 1-3. DOI=10.5120/15082-3359
@article{ 10.5120/15082-3359,
author = { Hans Raj,Nawneet Hooda },
title = { Coupled Fixed Point Theorems under Nonlinear Contractive Conditions in G – Metric spaces },
journal = { International Journal of Computer Applications },
year = { 2014 },
volume = { 86 },
number = { 18 },
pages = { 1-3 },
doi = { 10.5120/15082-3359 },
publisher = { Foundation of Computer Science (FCS), NY, USA }
}
%0 Journal Article
%D 2014
%A Hans Raj
%A Nawneet Hooda
%T Coupled Fixed Point Theorems under Nonlinear Contractive Conditions in G – Metric spaces%T
%J International Journal of Computer Applications
%V 86
%N 18
%P 1-3
%R 10.5120/15082-3359
%I Foundation of Computer Science (FCS), NY, USA
Abstract
The aim of this paper is to prove a number of coupled fixed point theorems under '-contractions for a mapping F : X X ! X in G-metric spaces. The given result is conversion of the result of Erdal Karapinar et al. [3] into G-metric space with coupled fixed point theorem.
References
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- W. Shatanawi Erdal Karapinar and Z. Mustafa. Quadruple fixed point theorems under nonlinear contractive conditions in partially ordered metric spaces. Journal of Applied Mathematics.
- Z. Mustafa. A new structure for generalized metric spaces with applications to fixed point theory.
- Z. Mustafa and B. Sims. Fixed point theorems for contractive mappings in complete G-metric spaces. Fixed Point Theory Appl. , 10.
- Z. Mustafa and B. Sims. A new approach to generalized metric spaces. J. Nonlinear Convex Anal. , 7(2):289–297, 2006.
- H. Obiedat Z. Mustafa and F. Awawdeh. Some fixed point theorem for mapping on complete metric spaces. Fixed Point Theory Appl. , 12.
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