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http://dx.doi.org/10.4134/JKMS.2015.52.6.1287

HAUSDORFF TOPOLOGY INDUCED BY THE FUZZY METRIC AND THE FIXED POINT THEOREMS IN FUZZY METRIC SPACES  

WU, HSIEN-CHUNG (DEPARTMENT OF MATHEMATICS NATIONAL KAOHSIUNG NORMAL UNIVERSITY)
Publication Information
Journal of the Korean Mathematical Society / v.52, no.6, 2015 , pp. 1287-1303 More about this Journal
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;
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