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Fuzzy operator theory in mathematical analysis

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Fuzzy operator theory in mathematical analysis/ by Yeol Je Cho, Themistocles M. Rassias, Reza Saadati.
Author:	Cho, Yeol Je.
other author:	Rassias, Themistocles M.
Published:	Cham :Springer International Publishing : : 2018.,
Description:	xiii, 410 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
Subject:	Fuzzy logic. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-93501-0
ISBN:	9783319935010

Fuzzy operator theory in mathematical analysis
Cho, Yeol Je.

Fuzzy operator theory in mathematical analysis[electronic resource] /by Yeol Je Cho, Themistocles M. Rassias, Reza Saadati. - Cham :Springer International Publishing :2018. - xiii, 410 p. :ill., digital ;24 cm.

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.

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.

ISBN: 9783319935010

Standard No.: 10.1007/978-3-319-93501-0doiSubjects--Topical Terms:

528464
Fuzzy logic.

LC Class. No.: QA9.64 / .C469 2018

Dewey Class. No.: 511.3223

Fuzzy operator theory in mathematical analysis
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100 1 $a Cho, Yeol Je. $3 1060982
245 1 0 $a Fuzzy operator theory in mathematical analysis $h [electronic resource] / $c by Yeol Je Cho, Themistocles M. Rassias, Reza Saadati.
260 $a Cham : $c 2018. $b Springer International Publishing : $b Imprint: Springer,
300 $a xiii, 410 p. : $b ill., digital ; $c 24 cm.
505 0 $a 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.
520 $a 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.
650 0 $a Fuzzy logic. $3 528464
650 0 $a Operator theory. $3 527910
650 0 $a Mathematical analysis. $3 527926
650 1 4 $a Mathematics. $3 527692
650 2 4 $a Operator Theory. $3 672127
650 2 4 $a Functional Analysis. $3 672166
700 1 $a Rassias, Themistocles M. $3 782445
700 1 $a Saadati, Reza. $3 1078216
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer eBooks
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-93501-0
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