Vector Optimization and Monotone Operators via Convex Duality: Recent Advances
This book investigates several duality approaches for vector optimization problems, while also comparing them. Special attention is paid to duality for linear vector optimization problems, for which a vector dual that avoids the shortcomings of the classical ones is proposed. Moreover, the book addr...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cham [u.a.]
Springer International Publishing
2015
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| Schriftenreihe: | Vector Optimization
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| Online-Zugang: | BTU01 FAB01 FAW01 FHA01 FHI01 FHM01 FHN01 FHO01 FHR01 FKE01 FLA01 FNU01 FRO01 FWS01 FWS02 HWR01 UBG01 UBT01 UBY01 UEI01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Zusammenfassung: | This book investigates several duality approaches for vector optimization problems, while also comparing them. Special attention is paid to duality for linear vector optimization problems, for which a vector dual that avoids the shortcomings of the classical ones is proposed. Moreover, the book addresses different efficiency concepts for vector optimization problems. Among the problems that appear when the framework is generalized by considering set-valued functions, an increasing interest is generated by those involving monotone operators, especially now that new methods for approaching them by means of convex analysis have been developed. Following this path, the book provides several results on different properties of sums of monotone operators |
| Beschreibung: | 1 Online-Ressource (XVII, 269 p) |
| ISBN: | 9783319089003 |
| DOI: | 10.1007/978-3-319-08900-3 |
Internformat
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Datensatz im Suchindex
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| _version_ | 1806179182436155392 |
| adam_text | VECTOR OPTIMIZATION AND MONOTONE OPERATORS VIA CONVEX DUALITY
/ GRAD, SORIN-MIHAI
: 2015
TABLE OF CONTENTS / INHALTSVERZEICHNIS
INTRODUCTION AND PRELIMINARIES
DUALITY FOR SCALAR OPTIMIZATION PROBLEMS
MINIMALITY CONCEPTS FOR SETS
VECTOR DUALITY VIASCALARIZATION FOR VECTOR OPTIMIZATION PROBLEMS
GENERAL WOLFE AND MOND-WEIR DUALITY
VECTOR DUALITY FOR LINEAR AND SEMIDEFINITE VECTOR OPTIMIZATION PROBLEMS
MONOTONE OPERATORS APPROACHED VIA CONVEX ANALYSIS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
VECTOR OPTIMIZATION AND MONOTONE OPERATORS VIA CONVEX DUALITY
/ GRAD, SORIN-MIHAI
: 2015
ABSTRACT / INHALTSTEXT
THIS BOOK INVESTIGATES SEVERAL DUALITY APPROACHES FOR VECTOR
OPTIMIZATION PROBLEMS, WHILE ALSO COMPARING THEM. SPECIAL ATTENTION IS
PAID TO DUALITY FOR LINEAR VECTOR OPTIMIZATION PROBLEMS, FOR WHICH A
VECTOR DUAL THAT AVOIDS THE SHORTCOMINGS OF THE CLASSICAL ONES IS
PROPOSED. MOREOVER, THE BOOK ADDRESSES DIFFERENT EFFICIENCY CONCEPTS FOR
VECTOR OPTIMIZATION PROBLEMS. AMONG THE PROBLEMS THAT APPEAR WHEN THE
FRAMEWORK IS GENERALIZED BY CONSIDERING SET-VALUED FUNCTIONS, AN
INCREASING INTEREST IS GENERATED BY THOSE INVOLVING MONOTONE OPERATORS,
ESPECIALLY NOW THAT NEW METHODS FOR APPROACHING THEM BY MEANS OF CONVEX
ANALYSIS HAVE BEEN DEVELOPED. FOLLOWING THIS PATH, THE BOOK PROVIDES
SEVERAL RESULTS ON DIFFERENT PROPERTIES OF SUMS OF MONOTONE OPERATORS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Grad, Sorin-Mihai 1979- |
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| dewey-tens | 650 - Management and auxiliary services |
| discipline | Wirtschaftswissenschaften |
| doi_str_mv | 10.1007/978-3-319-08900-3 |
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| record_format | marc |
| series2 | Vector Optimization |
| spellingShingle | Grad, Sorin-Mihai 1979- Vector Optimization and Monotone Operators via Convex Duality Recent Advances |
| title | Vector Optimization and Monotone Operators via Convex Duality Recent Advances |
| title_auth | Vector Optimization and Monotone Operators via Convex Duality Recent Advances |
| title_exact_search | Vector Optimization and Monotone Operators via Convex Duality Recent Advances |
| title_full | Vector Optimization and Monotone Operators via Convex Duality Recent Advances Sorin-Mihai Grad |
| title_fullStr | Vector Optimization and Monotone Operators via Convex Duality Recent Advances Sorin-Mihai Grad |
| title_full_unstemmed | Vector Optimization and Monotone Operators via Convex Duality Recent Advances Sorin-Mihai Grad |
| title_short | Vector Optimization and Monotone Operators via Convex Duality |
| title_sort | vector optimization and monotone operators via convex duality recent advances |
| title_sub | Recent Advances |
| url | https://doi.org/10.1007/978-3-319-08900-3 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027640705&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027640705&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT gradsorinmihai vectoroptimizationandmonotoneoperatorsviaconvexdualityrecentadvances |