FIXED POINT OF KANNAN RESULTS IN FUZZY METRIC SPACES

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 197

Volume : 17 , Issue : 2
DOI:
Author :
R. Mohanraj (Department of Mathematics, University V.O.C College of Engineering, Anna University Tuticorin Campus, Tuticorin - 628008, INDIA)
V. Malliga Devi (Department of Mathematics, University V.O.C College of Engineering, Anna University Tuticorin Campus, Tuticorin - 628008, INDIA)

Abstract

In this paper we prove some fixed point theorems of R. Kannan [Bull. Calcutta Math. Soc., 60(1968), 71-76] in fuzzy metric spaces in the sense of I. Kramosil and J. Michalek, [Kybernetica, 11(1975), 336-344]. The mappings are used as defined by V. Gregori and A. Sapena [Fuzzy Sets and Systems, 125(2002), 245-252].

Keywords and Phrases

Fuzzy metric space, Common fixed point, G-Cauchy sequence.

A.M.S. subject classification

47H10, 54H25.

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