Set-valued Optimization: An Introduction with Applications
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
2015
|
| Schriftenreihe: | Vector Optimization
|
| Schlagworte: | |
| Online-Zugang: | TUM01 Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | XXII, 765 p. 29 illus |
| ISBN: | 9783642542657 9783642542640 |
| ISSN: | 1867-8971 |
| DOI: | 10.1007/978-3-642-54265-7 |
Internformat
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Datensatz im Suchindex
| _version_ | 1804152872569405440 |
|---|---|
| adam_text | SET-VALUED OPTIMIZATION
/ KHAN, AKHTAR A.
: 2015
TABLE OF CONTENTS / INHALTSVERZEICHNIS
INTRODUCTION
ORDER RELATIONS AND ORDERING CONES
CONTINUITY AND DIFFERENTIABILITY
TANGENT CONES AND TANGENT SETS
NONCONVEX SEPARATION THEOREMS
HAHN-BANACH TYPE THEOREMS
HAHN-BANACH TYPE THEOREMS
CONJUGATES AND SUBDIFFERENTIALS
DUALITY
EXISTENCE RESULTS FOR MINIMAL POINTS
EKELAND VARIATIONAL PRINCIPLE
DERIVATIVES AND EPIDERIVATIVES OF SET-VALUED MAPS
OPTIMALITY CONDITIONS IN SET-VALUED OPTIMIZATION
SENSITIVITY ANALYSIS IN SET-VALUED OPTIMIZATION AND VECTOR VARIATIONAL
INEQUALITIES
NUMERICAL METHODS FOR SOLVING SET-VALUED OPTIMIZATION PROBLEMS
APPLICATIONS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
SET-VALUED OPTIMIZATION
/ KHAN, AKHTAR A.
: 2015
ABSTRACT / INHALTSTEXT
SET-VALUED OPTIMIZATION IS A VIBRANT AND EXPANDING BRANCH OF MATHEMATICS
THAT DEALS WITH OPTIMIZATION PROBLEMS WHERE THE OBJECTIVE MAP AND/OR THE
CONSTRAINTS MAPS ARE SET-VALUED MAPS ACTING BETWEEN CERTAIN SPACES.
SINCE SET-VALUED MAPS SUBSUMES SINGLE VALUED MAPS, SET-VALUED
OPTIMIZATION PROVIDES AN IMPORTANT EXTENSION AND UNIFICATION OF THE
SCALAR AS WELL AS THE VECTOR OPTIMIZATION PROBLEMS. THEREFORE THIS
RELATIVELY NEW DISCIPLINE HAS JUSTIFIABLY ATTRACTED A GREAT DEAL OF
ATTENTION IN RECENT YEARS. THIS BOOK PRESENTS, IN A UNIFIED FRAMEWORK,
BASIC PROPERTIES ON ORDERING RELATIONS, SOLUTION CONCEPTS FOR SET-VALUED
OPTIMIZATION PROBLEMS, A DETAILED DESCRIPTION OF CONVEX SET-VALUED MAPS,
MOST RECENT DEVELOPMENTS IN SEPARATION THEOREMS, SCALARIZATION
TECHNIQUES, VARIATIONAL PRINCIPLES, TANGENT CONES OF FIRST AND HIGHER
ORDER, SUB-DIFFERENTIAL OF SET-VALUED MAPS, GENERALIZED DERIVATIVES OF
SET-VALUED MAPS, SENSITIVITY ANALYSIS, OPTIMALITY CONDITIONS, DUALITY,
AND APPLICATIONS IN ECONOMICS AMONG OTHER THINGS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Khan, Akhtar A. Tammer, Christiane 1955- Zălinescu, Constantin |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510 |
| dewey-search | 510 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-642-54265-7 |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:17:37Z |
| institution | BVB |
| isbn | 9783642542657 9783642542640 |
| issn | 1867-8971 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027734561 |
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| series2 | Vector Optimization |
| spelling | Khan, Akhtar A. Verfasser aut Set-valued Optimization An Introduction with Applications by Akhtar A. Khan, Christiane Tammer, Constantin Zălinescu Berlin, Heidelberg Springer Berlin Heidelberg 2015 XXII, 765 p. 29 illus txt rdacontent c rdamedia cr rdacarrier Online-Ressource Vector Optimization 1867-8971 Optimierung (DE-588)4043664-0 gnd rswk-swf Dualitätstheorie (DE-588)4150801-4 gnd rswk-swf Mengenwertige Abbildung (DE-588)4270772-9 gnd rswk-swf Dualitätstheorie (DE-588)4150801-4 s Optimierung (DE-588)4043664-0 s Mengenwertige Abbildung (DE-588)4270772-9 s DE-604 Tammer, Christiane 1955- Verfasser (DE-588)112846955 aut Zălinescu, Constantin Verfasser aut https://doi.org/10.1007/978-3-642-54265-7 Verlag URL des Erstveröffentlichers Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027734561&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027734561&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract |
| spellingShingle | Khan, Akhtar A. Tammer, Christiane 1955- Zălinescu, Constantin Set-valued Optimization An Introduction with Applications Optimierung (DE-588)4043664-0 gnd Dualitätstheorie (DE-588)4150801-4 gnd Mengenwertige Abbildung (DE-588)4270772-9 gnd |
| subject_GND | (DE-588)4043664-0 (DE-588)4150801-4 (DE-588)4270772-9 |
| title | Set-valued Optimization An Introduction with Applications |
| title_auth | Set-valued Optimization An Introduction with Applications |
| title_exact_search | Set-valued Optimization An Introduction with Applications |
| title_full | Set-valued Optimization An Introduction with Applications by Akhtar A. Khan, Christiane Tammer, Constantin Zălinescu |
| title_fullStr | Set-valued Optimization An Introduction with Applications by Akhtar A. Khan, Christiane Tammer, Constantin Zălinescu |
| title_full_unstemmed | Set-valued Optimization An Introduction with Applications by Akhtar A. Khan, Christiane Tammer, Constantin Zălinescu |
| title_short | Set-valued Optimization |
| title_sort | set valued optimization an introduction with applications |
| title_sub | An Introduction with Applications |
| topic | Optimierung (DE-588)4043664-0 gnd Dualitätstheorie (DE-588)4150801-4 gnd Mengenwertige Abbildung (DE-588)4270772-9 gnd |
| topic_facet | Optimierung Dualitätstheorie Mengenwertige Abbildung |
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