國立高雄大學圖資館 |

Language: English

Back

Fuzzy operator theory in mathematica...

Cho, Yeol Je.

Fuzzy operator theory in mathematical analysis

Record Type:	Electronic resources : Monograph/item
Title/Author:	Fuzzy operator theory in mathematical analysisby 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$q(electronic bk.)

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$q(electronic bk.)

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

181981
Fuzzy logic.

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

Dewey Class. No.: 511.3223

Fuzzy operator theory in mathematical analysis
LDR:02673nmm a2200313 a 4500 001 543964
003 DE-He213
005 20190304114843.0
006 m d
007 cr nn 008maaau
008 190430s2018 gw s 0 eng d
020 $a 9783319935010$q(electronic bk.)
020 $a 9783319934990$q(paper)
024 7 $a 10.1007/978-3-319-93501-0 $2 doi
035 $a 978-3-319-93501-0
040 $a GP $c GP
041 0 $a eng
050 4 $a QA9.64 $b .C469 2018
072 7 $a PBKF $2 bicssc
072 7 $a MAT037000 $2 bisacsh
082 0 4 $a 511.3223 $2 23
090 $a QA9.64 $b .C545 2018
100 1 $a Cho, Yeol Je. $3 716921
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 : $b Springer International Publishing : $b Imprint: Springer, $c 2018.
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 181981
650 0 $a Operator theory. $3 229156
650 0 $a Mathematical analysis. $3 186133
650 1 4 $a Mathematics. $3 184409
650 2 4 $a Operator Theory. $3 274795
650 2 4 $a Functional Analysis. $3 274845
700 1 $a Rassias, Themistocles M. $3 456128
700 1 $a Saadati, Reza. $3 822406
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-93501-0
950 $a Mathematics and Statistics (Springer-11649)