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.
Hsien-Chung Wu
National Kaohsiung Normal University
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
2009; 46(6): 1151-1164
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