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Common Fixed Point Results in G-Metric Spaces and Applications

by Meenakshi Gugnani, Madhu Aggarwal, Renu Chugh
journal cover thumbnail

International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 43 - Number 11
Year of Publication: 2012
Authors: Meenakshi Gugnani, Madhu Aggarwal, Renu Chugh
10.5120/6151-8538

Meenakshi Gugnani, Madhu Aggarwal, Renu Chugh . Common Fixed Point Results in G-Metric Spaces and Applications. International Journal of Computer Applications. 43, 11 ( April 2012), 38-42. DOI=10.5120/6151-8538

@article{ 10.5120/6151-8538,
author = { Meenakshi Gugnani, Madhu Aggarwal, Renu Chugh },
title = { Common Fixed Point Results in G-Metric Spaces and Applications },
journal = { International Journal of Computer Applications },
issue_date = { April 2012 },
volume = { 43 },
number = { 11 },
month = { April },
year = { 2012 },
issn = { 0975-8887 },
pages = { 38-42 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume43/number11/6151-8538/ },
doi = { 10.5120/6151-8538 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:33:10.229463+05:30
%A Meenakshi Gugnani
%A Madhu Aggarwal
%A Renu Chugh
%T Common Fixed Point Results in G-Metric Spaces and Applications
%J International Journal of Computer Applications
%@ 0975-8887
%V 43
%N 11
%P 38-42
%D 2012
%I Foundation of Computer Science (FCS), NY, USA
Abstract

A common fixed point theorem using EA-property for four weakly compatible maps is obtained in the setting of G- metric spaces without exploiting the notion of continuity. Our results generalize the results of Abbas and Rhoades[7], and Manro et. al. [11]. Moreover, we show that these maps satisfy property R. Applications to certain intergral equations and functional equations are also obtained.

References
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  10. Chugh, R. , Kadian, T. , Rani, A. and Rhoades, B. E. , Property P in G-metric spaces, Fixed Point Theory and App. , Volume 2010, Article ID 401684, (2010),12 pages.
  11. Manro, S. , Bhatia, S. S. and Kumar, S. , Expansion Mapping Theorems In G-metric spaces, Int. J. Contemp. Math. Sciences, Vol. 5, no. 51, (2010), 2529-2535.
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Index Terms

Computer Science
Information Sciences

Keywords

Common Fixed Point G- Metric Spaces F-maps Weakly Compatible Maps E. A. Property Property R

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