CFP last date
20 December 2024
Reseach Article

Common Fixed Point Theorem for weakly compatible mappings in Intuitionistic Fuzzy Metric Spaces

by Anju Panwar
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 118 - Number 24
Year of Publication: 2015
Authors: Anju Panwar
10.5120/20953-2249

Anju Panwar . Common Fixed Point Theorem for weakly compatible mappings in Intuitionistic Fuzzy Metric Spaces. International Journal of Computer Applications. 118, 24 ( May 2015), 1-8. DOI=10.5120/20953-2249

@article{ 10.5120/20953-2249,
author = { Anju Panwar },
title = { Common Fixed Point Theorem for weakly compatible mappings in Intuitionistic Fuzzy Metric Spaces },
journal = { International Journal of Computer Applications },
issue_date = { May 2015 },
volume = { 118 },
number = { 24 },
month = { May },
year = { 2015 },
issn = { 0975-8887 },
pages = { 1-8 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume118/number24/20953-2249/ },
doi = { 10.5120/20953-2249 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T23:02:46.583732+05:30
%A Anju Panwar
%T Common Fixed Point Theorem for weakly compatible mappings in Intuitionistic Fuzzy Metric Spaces
%J International Journal of Computer Applications
%@ 0975-8887
%V 118
%N 24
%P 1-8
%D 2015
%I Foundation of Computer Science (FCS), NY, USA
Abstract

The present paper deals with a common fixed point theorem for weakly compatible mappings using condition of integral type in an intuitionistic fuzzy metric space. This result discovers the possibility of the idea of reciprocal continuity and weakly compatible maps to the problem of finding common fixed point of six mappings.

References
  1. A. Branciari, A fixed point theorem for mappings satisfying a general condition of integral type, International Journal of Mathematics and mathematical science,29(2002),531-536.
  2. B. Schweizer and A. Sklar, statistical spaces, Pacific Journal of Mathematics, 10(1960),313-334.
  3. C. Alaca, D. Turkoglu and C. Yildiz, Fixed points in intuitionistic fuzzy metric spaces, Choas. Solitons and Fractals, 29(2006),1073-1078.
  4. K. Atanassov, intuitionistic fuzzy sets, Fuzzy sets and systems 20(1986), 87-96.
  5. L. A. Zadeh , Fuzzy sets, inform and control 8(1965),338-353.
  6. O. Kramosial and J. Michalek, Fuzzy metric and statistical metric spaces, Kybernetica, 11(1975),330-334.
  7. S. Muralisankar and G. Kalpana, Common Fixed Point Theorem in Intuitionistic Fuzzy Metric Space using General Contractive Condition of Integral Type, Int. J. Contemp. Math. Sciences, 4(2009), 505-518.
  8. S. Sharma, S. Kutukcu and R. S. Rathore, Common fixed point for multivalued mappings in intuitionistic fuzzy metric space, Communication of Korean Mathematical Society, 22(3)(2007), 391-399.
  9. E. P. Klement, R. Mesiar, E. Pap, Triangular norms ,Kluwer Acad. Pupl. , Dordrecht,2000.
Index Terms

Computer Science
Information Sciences

Keywords

Fuzzy set Intuitionistic fuzzy set Intuitionistic fuzzy metric space weakly compatible reciprocally continuous Integral type