COMMON FIXED POINT THEOREMS IN FUZZY METRIC SPACES

Article Sidebar

PDF
Published: Aug 31, 2014

Main Article Content

Raghu Nandan Patel
Bilaspur Unniversity, Bilaspur

Abstract

The concept of fuzzy metric space which was introduced by Kramosil and Michalek. Chang obtained a coincidence theorem for fuzzy mappings on topological spaces. Upadhyay and Choudhary [7] also proved a unique fixed point theorem for a self mapping and common fixed point theorem for four self mappings in the context of fuzzy metric spaces. Our work is subjected to establish two unique common fixed point theorems for three self mappings respectively in complete fuzzy metric spaces.

Downloads

Download data is not yet available.

Article Details

How to Cite
Patel, R. N. (2014). COMMON FIXED POINT THEOREMS IN FUZZY METRIC SPACES. Journal of Global Research in Mathematical Archives(JGRMA), 2(2), 53–55. Retrieved from https://jgrma.com/index.php/jgrma/article/view/154
Issue
Vol. 2 No. 2 (2014): February-2014
Section
Mathematical Section
Download Copyright
Author Biography

Raghu Nandan Patel, Bilaspur Unniversity, Bilaspur

Department of Mathematiocs

Govt. E Raghvendra Rao P G Science College,

Bilaspur ( C. G.) INDIA

References

Chang C. : Fuzzy topological Spaces, J. Math. Anal. 24 (1968), 182 – 190.

Grabiec M. : Fixed points in fuzzy metric spaces, Fuzzy sets and systems 27 (1983), 385 – 389.

Kramosil J. and Michalek J. : Fuzzy metric and statistical metric spaces, Kybernetica 11 (1975), 330 – 334.

Schweizer B. and Sklar A. : Statistical metric spaces, Pacific J. Math. 10 (1960), 313 – 314.

Schweizer B. and Sklar A. : Probabilistic Metric spaces, North – Holland Amsterdam (1983).

Subrahmanyam P. V. : A common fixed point theorem in fuzzy metric spaces, 83 (1995), 109 – 112.

Upadhyay A. and Choudhary B. S. : Some fixed point results in fuzzy metric spaces, Applied Science Periodical, IV(2) (2002), 101 – 104.

K. P. R. Rao, N. Srinivasa Rao T. Ranga Rao and J. Rajendra Prasad, Fixed and related

fixed point theorems in sequentially compact fuzzy metric spaces, Int. Journal of Math.

Analysis, Vol. 2, 2008, no. 28, 1353-1359 1

K. P. R. Rao, Abdelkrim Aliouche and G. Ravi Babu, Related Fixed Point Theorems in

Fuzzy Metric Spaces, The Journal of Nonlinear Sciences and its Application, 1 (3) (2008),

-202. 1

Urmila Mishra, Abhay Sharad Ranavide & Dhananjay Gopal : Some fixed point theorems in fuzzy metric space, Tamkang Journal of Mathematics, 39(4)(2008), 309-316.

Singh D ; “Some common fixed point theorems in fuzzy metric space ; Advanced in fixed point theory, 2 (2012) no. 1 92 – 107.