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Coupled Fixed Point Theorems under Nonlinear Contractive Conditions in G – Metric spaces

by Hans Raj, Nawneet Hooda
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 86 - Number 18
Year of Publication: 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 },
issue_date = { January 2014 },
volume = { 86 },
number = { 18 },
month = { January },
year = { 2014 },
issn = { 0975-8887 },
pages = { 1-3 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume86/number18/15082-3359/ },
doi = { 10.5120/15082-3359 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T22:04:40.736672+05:30
%A Hans Raj
%A Nawneet Hooda
%T Coupled Fixed Point Theorems under Nonlinear Contractive Conditions in G – Metric spaces
%J International Journal of Computer Applications
%@ 0975-8887
%V 86
%N 18
%P 1-3
%D 2014
%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
  1. T. G. Bhaskar and V. Lakshmikantham. Fixed point theory in partially ordered metric spaces and applications. Nonlinear Anal. , 65.
  2. D. W. Boyd and S. W. Wong. On nonlinear contractions. Proc. Am. Math. Soc. , 20.
  3. W. Shatanawi Erdal Karapinar and Z. Mustafa. Quadruple fixed point theorems under nonlinear contractive conditions in partially ordered metric spaces. Journal of Applied Mathematics.
  4. Z. Mustafa. A new structure for generalized metric spaces with applications to fixed point theory.
  5. Z. Mustafa and B. Sims. Fixed point theorems for contractive mappings in complete G-metric spaces. Fixed Point Theory Appl. , 10.
  6. Z. Mustafa and B. Sims. A new approach to generalized metric spaces. J. Nonlinear Convex Anal. , 7(2):289–297, 2006.
  7. H. Obiedat Z. Mustafa and F. Awawdeh. Some fixed point theorem for mapping on complete metric spaces. Fixed Point Theory Appl. , 12.
Index Terms

Computer Science
Information Sciences

Keywords

G-metric space Coupled fixed point Mixed monotone property

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