Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

Article

HOME ALL ARTICLES View

J. Korean Math. Soc. 2015; 52(6): 1287-1303

Printed November 1, 2015

https://doi.org/10.4134/JKMS.2015.52.6.1287

Copyright © The Korean Mathematical Society.

Hausdorff topology induced by the fuzzy metric and the fixed point theorems in fuzzy metric spaces

Hsien-Chung Wu

National Kaohsiung Normal University

Abstract

The Hausdorff topology induced by a fuzzy metric space under more weak assumptions is investigated in this paper. Another purpose of this paper is to obtain the Banach contraction theorem in fuzzy metric space based on a natural concept of Cauchy sequence in fuzzy metric space.

Keywords: Banach contraction theorem, contractive mapping, fuzzy metric space, Hausdorff topology, triangular norm

MSC numbers: 54E35, 54H25

Stats or Metrics

Share this article on :