Fuzzy Operator Theory in Mathematical Analysis
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Beschreibung
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.
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.
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
Autor*in
Yeol Je Cho
Themen in »Fuzzy Operator Theory in Mathematical Analysis«
Banach spaces approximation theory best proximity theory fixed point theory fundamental theorems fuzzy metric fuzzy operator theory normed spaces Non-Archimedean fuzzy normed spaces Triangular norms Fuzzy topological structures Fuzzy normed spaces Finite dimensional fuzzy Banach spaces Fixed point theorems in partially ordered fuzzy metric spaces Fuzzy proximal cyclic contractions