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Coupled Fixed Point Theorems for W-Compatible Maps Relaxing Continuity in Partially Ordered G-Metric Spaces

by Sunil Kumar, Rakesh Kumar
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 120 - Number 23
Year of Publication: 2015
Authors: Sunil Kumar, Rakesh Kumar
10.5120/21397-4442

Sunil Kumar, Rakesh Kumar . Coupled Fixed Point Theorems for W-Compatible Maps Relaxing Continuity in Partially Ordered G-Metric Spaces. International Journal of Computer Applications. 120, 23 ( June 2015), 1-5. DOI=10.5120/21397-4442

@article{ 10.5120/21397-4442,
author = { Sunil Kumar, Rakesh Kumar },
title = { Coupled Fixed Point Theorems for W-Compatible Maps Relaxing Continuity in Partially Ordered G-Metric Spaces },
journal = { International Journal of Computer Applications },
issue_date = { June 2015 },
volume = { 120 },
number = { 23 },
month = { June },
year = { 2015 },
issn = { 0975-8887 },
pages = { 1-5 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume120/number23/21397-4442/ },
doi = { 10.5120/21397-4442 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T23:06:56.625524+05:30
%A Sunil Kumar
%A Rakesh Kumar
%T Coupled Fixed Point Theorems for W-Compatible Maps Relaxing Continuity in Partially Ordered G-Metric Spaces
%J International Journal of Computer Applications
%@ 0975-8887
%V 120
%N 23
%P 1-5
%D 2015
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper, we have established coupled coincidence point results for pair of mappings in partially ordered G-metric spaces. We have defined w-compatibility in this context to ensure the uniqueness of the coupled common fixed point. There are several corollaries which extend some known results of coupled coincidence points and coupled fixed points. The main theorem is illustrated with an example. The example demonstrates that our main result is an actual improvement over the results which are generalized.

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Index Terms

Computer Science
Information Sciences

Keywords

Partially ordered set coupled coincidence point mixed gmonotone property compatible mappings w-compatible mappings.

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