Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 2009; 24(2): 197-214

Printed June 1, 2009

https://doi.org/10.4134/CKMS.2009.24.2.197

Copyright © The Korean Mathematical Society.

Compatible mappings of type (I) and (II) on intuitionistic fuzzy metric spaces in consideration of common fixed point

Sushil Sharma and Bhavana Deshpande

Madhav Science College and Govt. Arts and Science P. G. College

Abstract

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In this paper, we formulate the definition of compatible mappings of type (I) and (II) in intuitionistic fuzzy metric spaces and prove a common fixed point theorem by using the conditions of compatible mappings of type (I) and (II) in complete intuitionistic fuzzy metric spaces. Our results intuitionistically fuzzify the result of Cho, Sedghi, and Shobe~[4].

Keywords: triangular norms, triangular conorms, intuitionistic fuzzy metric spaces, compatible mappings of type (I) and (II), common fixed points

MSC numbers: 47H10, 54H25

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