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Fuzzy operator theory in mathematical analysis

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Fuzzy operator theory in mathematical analysis/ by Yeol Je Cho, Themistocles M. Rassias, Reza Saadati.
作者:	Cho, Yeol Je.
其他作者:	Rassias, Themistocles M.
出版者:	Cham :Springer International Publishing : : 2018.,
面頁冊數:	xiii, 410 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
標題:	Fuzzy logic. -
電子資源:	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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245 1 0 $a Fuzzy operator theory in mathematical analysis $h [electronic resource] / $c by Yeol Je Cho, Themistocles M. Rassias, Reza Saadati.
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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.
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650 2 4 $a Functional Analysis. $3 672166
700 1 $a Rassias, Themistocles M. $3 782445
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