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A Characterization of Generalized Saddle Points for Vector-Valued Functions via Scalarization
http://hdl.handle.net/10191/5658
http://hdl.handle.net/10191/56589c3df695-77c8-460f-984b-0b3212ef4443
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
5_0003.pdf (2.7 MB)
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| Item type | 学術雑誌論文 / Journal Article(1) | |||||
|---|---|---|---|---|---|---|
| 公開日 | 2008-04-08 | |||||
| タイトル | ||||||
| タイトル | A Characterization of Generalized Saddle Points for Vector-Valued Functions via Scalarization | |||||
| タイトル | ||||||
| タイトル | A Characterization of Generalized Saddle Points for Vector-Valued Functions via Scalarization | |||||
| 言語 | en | |||||
| 言語 | ||||||
| 言語 | eng | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | vector optimization | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | scalarization | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | two-person game | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | cone saddle points | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | equilibrium points | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | convex-concave functions | |||||
| 資源タイプ | ||||||
| 資源 | http://purl.org/coar/resource_type/c_6501 | |||||
| タイプ | journal article | |||||
| 著者 |
Tanaka, Tamaki
× Tanaka, Tamaki |
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| 抄録 | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | In this paper, we propose abstract concepts of saddle points of a vector-valued function ƒ defined on a product X × Y of infinite-dimensional sets X and Y in locally convex topological vector spaces. Three notions of the generalized saddle points are considered, and a notions of semi-saddle points, which is also known as "Nash equilibrium points" for a two-person nonzero-sum game in game theory, is defined for a pair of scalarized functions. Various necessary conditions, sufficient conditions and existence conditions are explored for each type of the generalized saddle points. These conditions give a connection between each type of the generalized saddle points and the corresponding type of the semi-saddle points. | |||||
| 書誌情報 |
Nihonkai Mathematical Journal en : Nihonkai Mathematical Journal 巻 1, 号 2, p. 209-227, 発行日 1990 |
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| 出版者 | ||||||
| 出版者 | 新潟大学 | |||||
| ISSN | ||||||
| 収録物識別子タイプ | ISSN | |||||
| 収録物識別子 | 13419951 | |||||
| 書誌レコードID | ||||||
| 収録物識別子タイプ | NCID | |||||
| 収録物識別子 | AA10800960 | |||||
| 著者版フラグ | ||||||
| 値 | publisher | |||||
