Communications of the
Korean Mathematical Society
CKMS

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

Article

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Commun. Korean Math. Soc. 2012; 27(2): 347-356

Printed June 1, 2012

https://doi.org/10.4134/CKMS.2012.27.2.347

Copyright © The Korean Mathematical Society.

A local fixed point theorem on fuzzy metric spaces

Shaban Sedghi, Ishak Altun, and Nabi Shobe

Islamic Azad University, Kirikkale University, Islamic Azad University-Babol Branch

Abstract

In this paper, we present a common fixed point theorem for multivalued maps on $M$-complete fuzzy metric spaces. Also, the single valued case and an illustrative example are given.

Keywords: fixed point, fuzzy metric space, multivalued map

MSC numbers: Primary 54H25; Secondary 47H10