Theory of Vector Optimization:
These notes grew out of a series of lectures given by the author at the Univer sity of Budapest during 1985-1986. Additional results have been included which were obtained while the author was at the University of Erlangen-Niirnberg under a grant of the Alexander von Humboldt Foundation. Vector opt...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1989
|
| Ausgabe: | 1st ed. 1989 |
| Schriftenreihe: | Lecture Notes in Economics and Mathematical Systems
319 |
| Schlagworte: | |
| Online-Zugang: | BTU01 Volltext |
| Zusammenfassung: | These notes grew out of a series of lectures given by the author at the Univer sity of Budapest during 1985-1986. Additional results have been included which were obtained while the author was at the University of Erlangen-Niirnberg under a grant of the Alexander von Humboldt Foundation. Vector optimization has two main sources coming from economic equilibrium and welfare theories of Edgeworth (1881) and Pareto (1906) and from mathemat ical backgrounds of ordered spaces of Cantor (1897) and Hausdorff (1906). Later, game theory of Borel (1921) and von Neumann (1926) and production theory of Koopmans (1951) have also contributed to this area. However, only in the fifties, after the publication of Kuhn-Tucker's paper (1951) on the necessary and sufficient conditions for efficiency, and of Deubreu's paper (1954) on valuation equilibrium and Pareto optimum, has vector optimization been recognized as a mathematical discipline. The stretching development of this field began later in the seventies and eighties. Today there are a number of books on vector optimization. Most of them are concerned with the methodology and the applications. Few of them offer a systematic study of the theoretical aspects. The aim of these notes is to pro vide a unified background of vector optimization,with the emphasis on nonconvex problems in infinite dimensional spaces ordered by convex cones. The notes are arranged into six chapters. The first chapter presents prelim inary material |
| Beschreibung: | 1 Online-Ressource (VIII, 176 p) |
| ISBN: | 9783642502804 |
| DOI: | 10.1007/978-3-642-50280-4 |
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| edition | 1st ed. 1989 |
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| indexdate | 2024-07-10T08:56:08Z |
| institution | BVB |
| isbn | 9783642502804 |
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| spelling | Luc, Dinh The Verfasser aut Theory of Vector Optimization by Dinh The Luc 1st ed. 1989 Berlin, Heidelberg Springer Berlin Heidelberg 1989 1 Online-Ressource (VIII, 176 p) txt rdacontent c rdamedia cr rdacarrier Lecture Notes in Economics and Mathematical Systems 319 These notes grew out of a series of lectures given by the author at the Univer sity of Budapest during 1985-1986. Additional results have been included which were obtained while the author was at the University of Erlangen-Niirnberg under a grant of the Alexander von Humboldt Foundation. Vector optimization has two main sources coming from economic equilibrium and welfare theories of Edgeworth (1881) and Pareto (1906) and from mathemat ical backgrounds of ordered spaces of Cantor (1897) and Hausdorff (1906). Later, game theory of Borel (1921) and von Neumann (1926) and production theory of Koopmans (1951) have also contributed to this area. However, only in the fifties, after the publication of Kuhn-Tucker's paper (1951) on the necessary and sufficient conditions for efficiency, and of Deubreu's paper (1954) on valuation equilibrium and Pareto optimum, has vector optimization been recognized as a mathematical discipline. The stretching development of this field began later in the seventies and eighties. Today there are a number of books on vector optimization. Most of them are concerned with the methodology and the applications. Few of them offer a systematic study of the theoretical aspects. The aim of these notes is to pro vide a unified background of vector optimization,with the emphasis on nonconvex problems in infinite dimensional spaces ordered by convex cones. The notes are arranged into six chapters. The first chapter presents prelim inary material Operations Research/Decision Theory Operations research Decision making Mehrkriterielle Optimierung (DE-588)4610682-0 gnd rswk-swf Vektor (DE-588)4202708-1 gnd rswk-swf Optimierung (DE-588)4043664-0 gnd rswk-swf Vektor (DE-588)4202708-1 s DE-604 Mehrkriterielle Optimierung (DE-588)4610682-0 s Optimierung (DE-588)4043664-0 s Erscheint auch als Druck-Ausgabe 9783540505419 Erscheint auch als Druck-Ausgabe 9783642502811 https://doi.org/10.1007/978-3-642-50280-4 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Luc, Dinh The Theory of Vector Optimization Operations Research/Decision Theory Operations research Decision making Mehrkriterielle Optimierung (DE-588)4610682-0 gnd Vektor (DE-588)4202708-1 gnd Optimierung (DE-588)4043664-0 gnd |
| subject_GND | (DE-588)4610682-0 (DE-588)4202708-1 (DE-588)4043664-0 |
| title | Theory of Vector Optimization |
| title_auth | Theory of Vector Optimization |
| title_exact_search | Theory of Vector Optimization |
| title_exact_search_txtP | Theory of Vector Optimization |
| title_full | Theory of Vector Optimization by Dinh The Luc |
| title_fullStr | Theory of Vector Optimization by Dinh The Luc |
| title_full_unstemmed | Theory of Vector Optimization by Dinh The Luc |
| title_short | Theory of Vector Optimization |
| title_sort | theory of vector optimization |
| topic | Operations Research/Decision Theory Operations research Decision making Mehrkriterielle Optimierung (DE-588)4610682-0 gnd Vektor (DE-588)4202708-1 gnd Optimierung (DE-588)4043664-0 gnd |
| topic_facet | Operations Research/Decision Theory Operations research Decision making Mehrkriterielle Optimierung Vektor Optimierung |
| url | https://doi.org/10.1007/978-3-642-50280-4 |
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