Fuzzy Operator Theory in Mathematical Analysis

Yeol Je Cho, Themistocles M. Rassias, Reza Saadati (Autoren)

Buch | Hardcover

XIII, 410 Seiten

2018 | 1st ed. 2018
Springer International Publishing (Verlag)
978-3-319-93499-0 (ISBN)

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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.

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.

Erscheinungsdatum	23.08.2018
Zusatzinfo	XIII, 410 p.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	795 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Schlagworte	Approximation Theory • Banach spaces • best proximity theory • Closed graph theorem • Finite dimensional fuzzy Banach spaces • Fixed point theorems in partially ordered fuzzy me • Fixed point theorems in partially ordered fuzzy metric spaces • Fixed Point Theory • fundamental theorems • fuzzy metric • Fuzzy normed spaces • fuzzy operator theory • Fuzzy proximal cyclic contractions • Fuzzy topological structures • Non-Archimedean fuzzy normed spaces • Nonlinear approximation theory • normed spaces • Open mapping theorem • Ordered non-Archimedean fuzzy metric spaces • set-valued mappings in fuzzy metric spaces • Triangular Norms
ISBN-10	3-319-93499-6 / 3319934996
ISBN-13	978-3-319-93499-0 / 9783319934990
Zustand	Neuware