Shaban Sedghi, Nabi Shobkolaei, Ishak Altun (2015)
Communications in Mathematics
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In this paper, we introduce the concept of partial fuzzy metric on a nonempty set and give the topological structure and some properties of partial fuzzy metric space. Then some fixed point results are provided.
M.H.M. Rashid (2019)
Archivum Mathematicum
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The aim of this paper is to modify the theory to fuzzy metric spaces, a natural extension of probabilistic ones. More precisely, the modification concerns fuzzily normed linear spaces, and, after defining a fuzzy concept of completeness, fuzzy Banach spaces. After discussing some properties of mappings with compact images, we define the (Leray-Schauder) degree by a sort of colimit extension of (already assumed) finite dimensional ones. Then, several properties of thus defined concept...
Razani, Abdolrahman (2005)
Fixed Point Theory and Applications [electronic only]
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Josef Bednář (2005)
Kybernetika
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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.
Elango Roja, Mallasamudram Kuppusamy Uma, Ganesan Balasubramanian (2008)
Mathematica Bohemica
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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.
Grosu, Marta, Grosu, Corina (2001)
APPS. Applied Sciences
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