Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

Article

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Commun. Korean Math. Soc. 2008; 23(1): 111-124

Printed March 1, 2008

Copyright © The Korean Mathematical Society.

Some fixed point theorems on fuzzy metric spaces with implicit relations

Ishak Altun and Duran Turkoglu

Kirkkale University and Gazi University

Abstract

In this paper, we give some fixed point theorems on fuzzy metric spaces with an implicit relation. Our results extend and generalize some fixed point theorems on complete fuzzy metric spaces by using a new technique.

Keywords: fuzzy metric space, common fixed point, compatible mappings, implicit relation

MSC numbers: Primary 54H25; Secondary 54A40