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Fixed Point Theorem for Semi-Compatible and R-Weakly Commuting in Intuitionistic Fuzzy Metric Space

A. Muraliraj1 , S. Sumithiradevi2

Section:Research Paper, Product Type: Isroset-Journal
Vol.6 , Issue.1 , pp.162-166, Feb-2019


CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v6i1.162166


Online published on Feb 28, 2019


Copyright © A. Muraliraj, S. Sumithiradevi . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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IEEE Style Citation: A. Muraliraj, S. Sumithiradevi, “Fixed Point Theorem for Semi-Compatible and R-Weakly Commuting in Intuitionistic Fuzzy Metric Space,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.6, Issue.1, pp.162-166, 2019.

MLA Style Citation: A. Muraliraj, S. Sumithiradevi "Fixed Point Theorem for Semi-Compatible and R-Weakly Commuting in Intuitionistic Fuzzy Metric Space." International Journal of Scientific Research in Mathematical and Statistical Sciences 6.1 (2019): 162-166.

APA Style Citation: A. Muraliraj, S. Sumithiradevi, (2019). Fixed Point Theorem for Semi-Compatible and R-Weakly Commuting in Intuitionistic Fuzzy Metric Space. International Journal of Scientific Research in Mathematical and Statistical Sciences, 6(1), 162-166.

BibTex Style Citation:
@article{Muraliraj_2019,
author = {A. Muraliraj, S. Sumithiradevi},
title = {Fixed Point Theorem for Semi-Compatible and R-Weakly Commuting in Intuitionistic Fuzzy Metric Space},
journal = {International Journal of Scientific Research in Mathematical and Statistical Sciences},
issue_date = {2 2019},
volume = {6},
Issue = {1},
month = {2},
year = {2019},
issn = {2347-2693},
pages = {162-166},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1153},
doi = {https://doi.org/10.26438/ijcse/v6i1.162166}
publisher = {IJCSE, Indore, INDIA},
}

RIS Style Citation:
TY - JOUR
DO = {https://doi.org/10.26438/ijcse/v6i1.162166}
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1153
TI - Fixed Point Theorem for Semi-Compatible and R-Weakly Commuting in Intuitionistic Fuzzy Metric Space
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - A. Muraliraj, S. Sumithiradevi
PY - 2019
DA - 2019/02/28
PB - IJCSE, Indore, INDIA
SP - 162-166
IS - 1
VL - 6
SN - 2347-2693
ER -

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Abstract :
In this paper, Fixed point theorem is proved by using four self maps .we split into pair, one in semi-compatible and another in R-weakly commuting mapping mainly using intutionistic fuzzy metric space. Our result extend and generalize and also illustrate some result.

Key-Words / Index Term :
Fuzzy set, Fuzzy metric space , Intuitionisitc fuzzy metric space , semi-compatible, R-weakly commuting

References :
[1]. Alaca,C.,Turkoglu,D and Yildiz,C (2006), “Fixed points in Intuitionistic Fuzzy metric spaces,”Chaos,Solitons and Fractals, Vol 29,No. 5,2006.pp.1073-1078.
[2]. Alaca,C.,Turkoglu,D and Yildiz,C and Cho Y.J (2006) ‘Common fixed point theorems in intuitionistic fuzzy metric spaces,’Journal of Applied Mathematics and Computing, Vol.22,No.1-2,2006.pp.411-424.
[3]. Alaca,I.Altun and D.Turkoglu,” On compatible mappings of type(I) and type(II) in intuitionistic fuzzy metric spaces,” communications of the Korean Mathematical society,Vol23,No.3,2008,pp.427-446.
[4]. Atanassov,K.(1986) Intuitionistic Fuzzy sets, Fuzzy sets and system, Vol,20,pp.87-96.
[5]. Y.J.Cho, B.K.Sharma and D.R.Sahu, Semi-compatiblity and fixed points,Math Japonica 42 (1995),91-98.
[6]. A.George,P.veeramani on some results in fuzzy metric spaces fuzzy sets and systems 64(1994)395-399
[7]. G..Jungck,” compatible mappings and common fixed point(2)” ,internat.J.Math.Math.Math.Sci.(1988),285-288.
[8]. Kramosil.I and Michalek.J, Fuzzy metric and Statistical metric spaces, Kybernetika,11(1975),336-344.
[9]. Schweizer,B and Sklar,A.(1920),” Statistical metric spaces,” Pacific Journal of Mathematics Vol.10,pp.313-334.
[10]. B.Singh and S.Jain, “ Semi-compatiblility,Compatiblility and fixed point theorems in fuzzy metric space” Journal of the chungcheong mathematical society Vol.18,No,1.April 2005.
[11]. .A.Zadeh, Fuzzy sets, Infor. and control, 8(1965)

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