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

Hsien-Chung Wu
대한수학회 (The Korean Mathematical Society)|2015.11|대한수학회지 (Journal of the KMS)|제52권 제6호|pp. 1287-1303

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참고문헌

키워드

fuzzy metric spacetriangular normcontractive mappingBanach contraction theoremHausdorff topology
주제분류수학

초록

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

Abstract

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

참고문헌 (18)

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