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  1. 050 理学部
  2. 10 学術雑誌論文
  3. 10 査読済論文
  1. 0 資料タイプ別
  2. 01 学術雑誌論文

A Characterization of Generalized Saddle Points for Vector-Valued Functions via Scalarization

http://hdl.handle.net/10191/5658
http://hdl.handle.net/10191/5658
9c3df695-77c8-460f-984b-0b3212ef4443
名前 / ファイル ライセンス アクション
5_0003.pdf 5_0003.pdf (2.7 MB)
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
言語 en
タイトル A Characterization of Generalized Saddle Points for Vector-Valued Functions via Scalarization
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

WEKO 7425

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
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
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