Fuzzy Normed Spaces and Fuzzy Metric Spaces

Yeol Je Cho, Themistocles M. Rassias and Reza Saadati
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Yeol Je Cho: Gyeongsang National University, Department of Mathematical Education
Themistocles M. Rassias: National Technical University of Athens, Department of Mathematics
Reza Saadati: Iran University of Science and Technology, Department of Mathematics

Chapter Chapter 2 in Fuzzy Operator Theory in Mathematical Analysis, 2018, pp 11-43 from Springer

Abstract: Abstract In this chapter, we define fuzzy normed spaces and show that every fuzzy normed space induces a fuzzy metric space. Then we consider the topology induced by fuzzy normed (metric) spaces and show some important topological properties of them. Next, we study fuzzy inner product spaces and some properties of these spaces.

Date: 2018
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DOI: 10.1007/978-3-319-93501-0_2

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