{"created":"2021-03-01T06:05:53.407858+00:00","id":2193,"links":{},"metadata":{"_buckets":{"deposit":"18bb7943-53ed-4635-8c4d-4c8815a5f00e"},"_deposit":{"id":"2193","owners":[],"pid":{"revision_id":0,"type":"depid","value":"2193"},"status":"published"},"_oai":{"id":"oai:niigata-u.repo.nii.ac.jp:00002193","sets":["176:488:489","453:454"]},"item_5_biblio_info_6":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"1990","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"2","bibliographicPageEnd":"227","bibliographicPageStart":"209","bibliographicVolumeNumber":"1","bibliographic_titles":[{"bibliographic_title":"Nihonkai Mathematical Journal"},{"bibliographic_title":"Nihonkai Mathematical Journal","bibliographic_titleLang":"en"}]}]},"item_5_description_4":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"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.","subitem_description_type":"Abstract"}]},"item_5_publisher_7":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"新潟大学"}]},"item_5_select_19":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_select_item":"publisher"}]},"item_5_source_id_11":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AA10800960","subitem_source_identifier_type":"NCID"}]},"item_5_source_id_9":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"13419951","subitem_source_identifier_type":"ISSN"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Tanaka, Tamaki"}],"nameIdentifiers":[{"nameIdentifier":"7425","nameIdentifierScheme":"WEKO"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2019-07-29"}],"displaytype":"detail","filename":"5_0003.pdf","filesize":[{"value":"2.7 MB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"5_0003.pdf","url":"https://niigata-u.repo.nii.ac.jp/record/2193/files/5_0003.pdf"},"version_id":"72d44547-a216-4b8d-9f60-07ffb6edf04e"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"vector optimization","subitem_subject_scheme":"Other"},{"subitem_subject":"scalarization","subitem_subject_scheme":"Other"},{"subitem_subject":"two-person game","subitem_subject_scheme":"Other"},{"subitem_subject":"cone saddle points","subitem_subject_scheme":"Other"},{"subitem_subject":"equilibrium points","subitem_subject_scheme":"Other"},{"subitem_subject":"convex-concave functions","subitem_subject_scheme":"Other"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"eng"}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourcetype":"journal article","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"A Characterization of Generalized Saddle Points for Vector-Valued Functions via Scalarization","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"A Characterization of Generalized Saddle Points for Vector-Valued Functions via Scalarization"},{"subitem_title":"A Characterization of Generalized Saddle Points for Vector-Valued Functions via Scalarization","subitem_title_language":"en"}]},"item_type_id":"5","owner":"1","path":["454","489"],"pubdate":{"attribute_name":"公開日","attribute_value":"2008-04-08"},"publish_date":"2008-04-08","publish_status":"0","recid":"2193","relation_version_is_last":true,"title":["A Characterization of Generalized Saddle Points for Vector-Valued Functions via Scalarization"],"weko_creator_id":"1","weko_shared_id":null},"updated":"2022-12-15T03:35:04.032791+00:00"}