Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 2012; 27(2): 265-277

Printed June 1, 2012

https://doi.org/10.4134/CKMS.2012.27.2.265

Copyright © The Korean Mathematical Society.

Extensions of Banach's and Kannan's results in fuzzy metric spaces

Binayak S. Choudhur, Krishnapada Das, and Pradyut Das

P. O. : B. Garden, Shibpur, P.O. : B. Garden, Shibpur, P.O. : B. Garden, Shibpur

Abstract

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In this paper we establish two common fixed point theorems in fuzzy metric spaces. These theorems are generalisations of the Banach contraction mapping principle and the Kannan's fixed point theorem respectively in fuzzy metric spaces. Our result is also supported by examples.

Keywords: Hadzic type t-norm, fuzzy metric space, Cauchy sequence, $\Psi$-function, weakly compatible mappings, contraction principle, Kannan type mapping, coincidence point, fixed point

MSC numbers: 47H25, 54H10

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