A contraction theorem in fuzzy metric spaces.
Razani, Abdolrahman (2005)
Fixed Point Theory and Applications [electronic only]
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A contraction theorem in fuzzy metric spaces.
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Josef Bednář (2005)
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In the paper, three different ways of constructing distances between vaguely described objects are shown: a generalization of the classic distance between subsets of a metric space, distance between membership functions of fuzzy sets and a fuzzy metric introduced by generalizing a metric space to fuzzy-metric one. Fuzzy metric spaces defined by Zadeh’s extension principle, particularly to are dealt with in detail.
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Jialiang Xie, Qingguo Li, Shuili Chen, Huan Huang (2016)
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In this paper, we study the relation between a fuzzy measure and a fuzzy metric which is induced by the fuzzy measure. We also discuss some basic properties of the constructed fuzzy metric space. In particular, we show that the nonatom of fuzzy measure space can be characterized in the constructed fuzzy metric space.
Urysohn’s lemma, gluing lemma and contraction mapping theorem for fuzzy metric spaces
Elango Roja, Mallasamudram Kuppusamy Uma, Ganesan Balasubramanian (2008)
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In this paper the concept of a fuzzy contraction mapping on a fuzzy metric space is introduced and it is proved that every fuzzy contraction mapping on a complete fuzzy metric space has a unique fixed point.