Research Article
Coupled Fixed Point Theorem for Weakly Compatible Mappings in Intuitionistic Fuzzy Metric Spaces
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
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| Volume 50 - Issue 23 |
| Published: July 2012 |
| Authors: Sumitra |
10.5120/7964-0244
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Sumitra . Coupled Fixed Point Theorem for Weakly Compatible Mappings in Intuitionistic Fuzzy Metric Spaces. International Journal of Computer Applications. 50, 23 (July 2012), 28-32. DOI=10.5120/7964-0244
@article{ 10.5120/7964-0244,
author = { Sumitra },
title = { Coupled Fixed Point Theorem for Weakly Compatible Mappings in Intuitionistic Fuzzy Metric Spaces },
journal = { International Journal of Computer Applications },
year = { 2012 },
volume = { 50 },
number = { 23 },
pages = { 28-32 },
doi = { 10.5120/7964-0244 },
publisher = { Foundation of Computer Science (FCS), NY, USA }
}
%0 Journal Article
%D 2012
%A Sumitra
%T Coupled Fixed Point Theorem for Weakly Compatible Mappings in Intuitionistic Fuzzy Metric Spaces%T
%J International Journal of Computer Applications
%V 50
%N 23
%P 28-32
%R 10.5120/7964-0244
%I Foundation of Computer Science (FCS), NY, USA
Abstract
The aim of present paper is to introduce the notion of t-conorm of H-type analogous to t-norm of H-type introduced by Hadzic [9] and using this notion we prove coupled fixed point theorems for weakly compatible mappings in intuitionistic fuzzy metric spaces.
References
- K. Atanassov. Intuitionistic fuzzy sets, Fuzzy Sets and Systems, vol. 20, pp. 87-96, 1986.
- C. Alaca, I. Altun and D. Turkoglu. On compatible mappings of type (I) and type (II) inintuitionistic fuzzy metric spaces, Commun. Korean Math. Soc. , vol. 23, no. 3, pp. 427-446, 2008.
- C. Alaca, D. Turkoglu and C. Yildiz. Fixed points in intuitionistic fuzzy metric spaces, SolitionsChaos, Solitons& Fractals, vol. 29, no. 5, pp. 1073-1078, 2006.
- D. Turkoglu, C. Alaca, Y. J. Cho, and C. Yildiz, Common ?xed point theorems in intuitionistic fuzzy metric spaces, J. Appl. Math. & Computing 22 (2006), 411–424.
- D. Turkoglu, C. Alaca, and C. Yildiz, Compatible maps and compatible maps of types (?)and (?) in intuitionistic fuzzy metric spaces, Demonstratio Math. 39 (2006), 671–684.
- D. Coker. An introduction to intuitionistic fuzzy topological spaces, Fuzzy Sets and System, vol. 88, pp. 81-89, 1997.
- J. X. Fang, Common fixed point theorems of compatible and weakly compatible maps in Menger spaces, Nonlinear
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