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Fixed Point Theorem for Fuzzy Mappings in Generalized R – Fuzzy Metric Spaces

by Syed Shahnawaz Ali, Anil Rajput, Jainendra Jain, D. S. Solanki
journal cover thumbnail

International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 53 - Number 16
Year of Publication: 2012
Authors: Syed Shahnawaz Ali, Anil Rajput, Jainendra Jain, D. S. Solanki
10.5120/8508-2519

Syed Shahnawaz Ali, Anil Rajput, Jainendra Jain, D. S. Solanki . Fixed Point Theorem for Fuzzy Mappings in Generalized R – Fuzzy Metric Spaces. International Journal of Computer Applications. 53, 16 ( September 2012), 31-37. DOI=10.5120/8508-2519

@article{ 10.5120/8508-2519,
author = { Syed Shahnawaz Ali, Anil Rajput, Jainendra Jain, D. S. Solanki },
title = { Fixed Point Theorem for Fuzzy Mappings in Generalized R – Fuzzy Metric Spaces },
journal = { International Journal of Computer Applications },
issue_date = { September 2012 },
volume = { 53 },
number = { 16 },
month = { September },
year = { 2012 },
issn = { 0975-8887 },
pages = { 31-37 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume53/number16/8508-2519/ },
doi = { 10.5120/8508-2519 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:54:28.801039+05:30
%A Syed Shahnawaz Ali
%A Anil Rajput
%A Jainendra Jain
%A D. S. Solanki
%T Fixed Point Theorem for Fuzzy Mappings in Generalized R – Fuzzy Metric Spaces
%J International Journal of Computer Applications
%@ 0975-8887
%V 53
%N 16
%P 31-37
%D 2012
%I Foundation of Computer Science (FCS), NY, USA
Abstract

The study of theory of fuzzy sets was initiated by Zadeh in 1965. Since then many authors have extended and developed the theory of fuzzy sets in the fields of topology and analysis. The notion of fuzzy metric spaces has very important applications in quantum particle physics. As a result many authors have extended the Banach's Contraction Principle to fuzzy metric spaces and proved fixed point and common fixed point theorems for fuzzy metric spaces. The aim of this paper is to introduce the new definition of R-fuzzy metric space and establish a fixed point theorem for fuzzy mappings in generalized R-fuzzy metric spaces.

References
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Index Terms

Computer Science
Information Sciences

Keywords

R-Fuzzy Contractive Mapping Complete R-fuzzy Metric Space Semi-Compatible Maps D-Metric Space Weak Compatibility Common Fixed Point

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