Fuzzy Operator Theory in Mathematical Analysis

• Main Authors: Cho, Yeol Je (Author, http://id.loc.gov/vocabulary/relators/aut), Rassias, Themistocles M. (http://id.loc.gov/vocabulary/relators/aut), Saadati, Reza (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Edition: 1st ed. 2018.
• Subjects: Operator theory.; Functional analysis.; Operator Theory.; Functional Analysis.

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...

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.