Operator Theory and Fixed Points in Fuzzy Normed Algebras and Applications

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 11 in Fuzzy Operator Theory in Mathematical Analysis, 2018, pp 339-346 from Springer

Abstract: 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.

Keywords: Fuzzy Normed Spaces; Normed Algebra; Fixed Point Theorem; Nonlinear Contraction; Compact Operator (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-93501-0_11

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DOI: 10.1007/978-3-319-93501-0_11

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