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2018 | OriginalPaper | Chapter

10. Topologies and Fixed Points in Fuzzy Metric-Type Spaces

Authors : Yeol Je Cho, Themistocles M. Rassias, Reza Saadati

Published in: Fuzzy Operator Theory in Mathematical Analysis

Publisher: Springer International Publishing

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Abstract

In this chapter, first, we introduce some extensions of metric spaces. Next, we introduce the concept of fuzzy metric-type spaces and consider the topology induced by the fuzzy metric type. Finally, we consider some fixed point theorems for some nonlinear mapping satisfying some conditions in complete fuzzy metric-type spaces.

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previous chapter Approximation Theory in Fuzzy Metric Spaces
next chapter Operator Theory and Fixed Points in Fuzzy Normed Algebras and Applications
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Metadata
Title
Topologies and Fixed Points in Fuzzy Metric-Type Spaces
Authors
Yeol Je Cho
Themistocles M. Rassias
Reza Saadati
Copyright Year
2018
Book
Fuzzy Operator Theory in Mathematical Analysis

Print ISBN: 978-3-319-93499-0

Electronic ISBN: 978-3-319-93501-0

Copyright Year: 2018

DOI
https://doi.org/10.1007/978-3-319-93501-0_10

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