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Fuzzy Operator Theory in Mathematical Analysis

  • Book
  • © 2018

Overview

Authors:
  1. Yeol Je Cho

    1. Department of Mathematical Education, Gyeongsang National University, Jinju, Korea (Republic of)

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  2. Themistocles M. Rassias

    1. Department of Mathematics, National Technical University of Athens, Athens, Greece

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    You can also search for this author in PubMed   Google Scholar

  3. Reza Saadati

    1. Department of Mathematics, Iran University of Science and Technology, Tehran, Iran

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    You can also search for this author in PubMed   Google Scholar

  • 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)

  1. Front Matter

    Pages i-xiii
    Download chapter PDF

  2. Preliminaries

    • Yeol Je Cho, Themistocles M. Rassias, Reza Saadati
    Pages 1-9

  3. Fuzzy Normed Spaces and Fuzzy Metric Spaces

    • Yeol Je Cho, Themistocles M. Rassias, Reza Saadati
    Pages 11-43

  4. Further Properties of Fuzzy Banach Spaces

    • Yeol Je Cho, Themistocles M. Rassias, Reza Saadati
    Pages 45-62

  5. Fundamental Theorems in Fuzzy Normed Spaces

    • Yeol Je Cho, Themistocles M. Rassias, Reza Saadati
    Pages 63-67

  6. Fixed Point Theorems in Fuzzy Metric Spaces

    • Yeol Je Cho, Themistocles M. Rassias, Reza Saadati
    Pages 69-153

  7. Generalized Distances and Fixed Point Theorems in Fuzzy Metric Spaces

    • Yeol Je Cho, Themistocles M. Rassias, Reza Saadati
    Pages 155-176

  8. Fixed Point Theorems in Partially Ordered Fuzzy Metric Spaces

    • Yeol Je Cho, Themistocles M. Rassias, Reza Saadati
    Pages 177-261

  9. Fixed Point Theorems in Fuzzy Normed Spaces

    • Yeol Je Cho, Themistocles M. Rassias, Reza Saadati
    Pages 263-283

  10. Approximation Theory in Fuzzy Metric Spaces

    • Yeol Je Cho, Themistocles M. Rassias, Reza Saadati
    Pages 285-309

  11. Topologies and Fixed Points in Fuzzy Metric-Type Spaces

    • Yeol Je Cho, Themistocles M. Rassias, Reza Saadati
    Pages 311-337

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

    • Yeol Je Cho, Themistocles M. Rassias, Reza Saadati
    Pages 339-346

  13. Fixed Points in Non-Archimedean Fuzzy Metric Spaces

    • Yeol Je Cho, Themistocles M. Rassias, Reza Saadati
    Pages 347-381

  14. Coincidence Points for Set-Valued Mappings in Fuzzy Metric Spaces

    • Yeol Je Cho, Themistocles M. Rassias, Reza Saadati
    Pages 383-399

  15. Back Matter

    Pages 401-410
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Keywords

About this book

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.


Authors and Affiliations

  • Department of Mathematical Education, Gyeongsang National University, Jinju, Korea (Republic of)

    Yeol Je Cho

  • Department of Mathematics, National Technical University of Athens, Athens, Greece

    Themistocles M. Rassias

  • 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

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