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2018 | OriginalPaper | Chapter

11. Operator Theory and Fixed Points in Fuzzy Normed Algebras and Applications

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 consider the concept of fuzzy Banach algebras and fuzzy compact operators in fuzzy normed spaces. Then we apply some fixed point theorems to solve the operator equation AxBx = x in fuzzy Banach algebras under some nonlinear contraction.

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previous chapter Topologies and Fixed Points in Fuzzy Metric-Type Spaces
next chapter Fixed Points in Non-Archimedean Fuzzy Metric Spaces
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Metadata
Title
Operator Theory and Fixed Points in Fuzzy Normed Algebras and Applications
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_11

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