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Fuzzy Operator Theory in Mathematical Analysis
Author
Title
Fuzzy Operator Theory in Mathematical Analysis [electronic resource] / by Yeol Je Cho, Themistocles M. Rassias, Reza Saadati.
ISBN
9783319935010
Publication
Cham : Springer International Publishing : Imprint: Springer, 2018.
Physical Description
1 online resource (XIII, 410 p.)
Local Notes
Access is available to the Yale community.
Access and use
Access restricted by licensing agreement.
Summary
This self-contained monograph presents an overview of fuzzy operator theory in mathematical analysis. Concepts, principles, methods, techniques, and applications of fuzzy operator theory are unified in this book to provide an introduction to graduate students and researchers in mathematics, applied sciences, physics, engineering, optimization, and operations research. New approaches to fuzzy operator theory and fixed point theory with applications to fuzzy metric spaces, fuzzy normed spaces, partially ordered fuzzy metric spaces, fuzzy normed algebras, and non-Archimedean fuzzy metric spaces are presented. 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.
Variant and related titles
Springer ENIN.
Other formats
Printed edition:
Format
Books / Online
Language
English
Added to Catalog
September 07, 2018
Contents
1. Preliminaries
2. Fuzzy normed spaces and fuzzy metric spaces
3. Further properties of fuzzy Banach spaces
4. Fundamental theorems in fuzzy normed spaces
5. Fixed point theorems in fuzzy metric spaces
6. Generalized distances and fixed point theorems in fuzzy metric spaces
7. Fixed point theorems in partially ordered fuzzy metric spaces
8. Fixed point theorems in fuzzy normed spaces
9. Approximation theory in fuzzy metric spaces
10. Topologies and fixed points in fuzzy metric-type spaces
11. Operator theory and fixed points in fuzzy normed algebras and applications
12. Fixed points in non-Archimedean fuzzy metric spaces
13. Coincidence points for set-valued mappings in fuzzy metric spaces.
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