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Common Fixed Point Theorems in Fuzzy Metric Space using Implicit Relation

by Asha Rani, Sanjay Kumar
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 20 - Number 7
Year of Publication: 2011
Authors: Asha Rani, Sanjay Kumar
10.5120/2459-3149

Asha Rani, Sanjay Kumar . Common Fixed Point Theorems in Fuzzy Metric Space using Implicit Relation. International Journal of Computer Applications. 20, 7 ( April 2011), 52-55. DOI=10.5120/2459-3149

@article{ 10.5120/2459-3149,
author = { Asha Rani, Sanjay Kumar },
title = { Common Fixed Point Theorems in Fuzzy Metric Space using Implicit Relation },
journal = { International Journal of Computer Applications },
issue_date = { April 2011 },
volume = { 20 },
number = { 7 },
month = { April },
year = { 2011 },
issn = { 0975-8887 },
pages = { 52-55 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume20/number7/2459-3149/ },
doi = { 10.5120/2459-3149 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:07:13.504282+05:30
%A Asha Rani
%A Sanjay Kumar
%T Common Fixed Point Theorems in Fuzzy Metric Space using Implicit Relation
%J International Journal of Computer Applications
%@ 0975-8887
%V 20
%N 7
%P 52-55
%D 2011
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper, we prove common fixed point theorems in fuzzy metric spaces for weakly compatible mappings along with property (E.A.) satisfying implicit relation. Property (E.A.) buys containment of ranges without any continuity requirement besides minimizing the commutativity conditions of the maps to commutativity at their point of coincidence. Moreover, property (E.A.) allows replacing the completeness requirement of the space with a more natural condition of closeness of the range.

References
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Index Terms

Computer Science
Information Sciences

Keywords

Common fixed point Weakly compatible maps property (E.A.)

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