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Equips readers with techniques and applications that can be used in interdisciplinary fields
Unifies concepts, principles, methods, techniques, and applications of fuzzy operator theory
Contains new approaches to fuzzy operator theory
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Table of contents (13 chapters)
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Front Matter
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Back Matter
About this book
Surveys are provided on: Basic theory of fuzzy metric and normed spaces and its topology, fuzzy normed and Banach spaces, linear operators, fundamental theorems (open mapping and closed graph), applications of contractions and fixed point theory, approximation theory and best proximity theory, fuzzy metric type space, topology and applications.
Keywords
- Banach spaces
- approximation theory
- best proximity theory
- fixed point theory
- fundamental theorems
- fuzzy metric
- fuzzy operator theory
- normed spaces
- Non-Archimedean fuzzy normed spaces
- Triangular norms
- Fuzzy topological structures
- Fuzzy normed spaces
- Finite dimensional fuzzy Banach spaces
- Fixed point theorems in partially ordered fuzzy metric spaces
- Fuzzy proximal cyclic contractions
- Nonlinear approximation theory
- Ordered non-Archimedean fuzzy metric spaces
- set-valued mappings in fuzzy metric spaces
- Open mapping theorem
- Closed graph theorem
Authors and Affiliations
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Department of Mathematical Education, Gyeongsang National University, Jinju, Korea (Republic of)
Yeol Je Cho
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Department of Mathematics, National Technical University of Athens, Athens, Greece
Themistocles M. Rassias
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Department of Mathematics, Iran University of Science and Technology, Tehran, Iran
Reza Saadati
Bibliographic Information
Book Title: Fuzzy Operator Theory in Mathematical Analysis
Authors: Yeol Je Cho, Themistocles M. Rassias, Reza Saadati
DOI: https://doi.org/10.1007/978-3-319-93501-0
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing AG, part of Springer Nature 2018
Hardcover ISBN: 978-3-319-93499-0Published: 21 August 2018
Softcover ISBN: 978-3-030-06674-1Published: 26 January 2019
eBook ISBN: 978-3-319-93501-0Published: 12 August 2018
Edition Number: 1
Number of Pages: XIII, 410
Topics: Operator Theory, Functional Analysis