Overview

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.

Full Product Details

Author:   Yeol Je Cho ,  Themistocles M. Rassias ,  Reza Saadati
Publisher:   Springer International Publishing AG
Imprint:   Springer International Publishing AG
Edition:   1st ed. 2018
Weight:   0.799kg
ISBN:  

9783319934990

ISBN 10:   3319934996
Pages:   410
Publication Date:   21 August 2018
Audience:   College/higher education ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand  
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Table of 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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