Fuzzy Operator Theory in Mathematical Analysis

Yeol Je Cho

ISBN 10: 3319934996 / ISBN 13: 9783319934990

Verlag: Springer International Publishing, 2018

Beschreibung

Druck auf Anfrage Neuware - Printed after ordering - This self-containedmonograph 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.

Bestandsnummer des Verkäufers 9783319934990

Bibliografische Details

• Titel: Fuzzy Operator Theory in Mathematical Analysis
• Verlag: Springer International Publishing
• Erscheinungsjahr: 2018
• Sprache: Englisch
• ISBN-10: 3319934996
• ISBN-13: 9783319934990
• Einband: Buch
• Zustand: Neu

Über diesen Titel

Inhaltsangabe

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.