{"_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"}, "item_5_biblio_info_6": {"attribute_name": "\u66f8\u8a8c\u60c5\u5831", "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": "\u6284\u9332", "attribute_value_mlt": [{"subitem_description": "In this paper, we propose abstract concepts of saddle points of a vector-valued function \u0192 defined on a product X \u00d7 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": "\u51fa\u7248\u8005", "attribute_value_mlt": [{"subitem_publisher": "\u65b0\u6f5f\u5927\u5b66"}]}, "item_5_select_19": {"attribute_name": "\u8457\u8005\u7248\u30d5\u30e9\u30b0", "attribute_value_mlt": [{"subitem_select_item": "publisher"}]}, "item_5_source_id_11": {"attribute_name": "\u66f8\u8a8c\u30ec\u30b3\u30fc\u30c9ID", "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": "\u8457\u8005", "attribute_type": "creator", "attribute_value_mlt": [{"creatorNames": [{"creatorName": "Tanaka, Tamaki"}], "nameIdentifiers": [{"nameIdentifier": "7425", "nameIdentifierScheme": "WEKO"}]}]}, "item_files": {"attribute_name": "\u30d5\u30a1\u30a4\u30eb\u60c5\u5831", "attribute_type": "file", "attribute_value_mlt": [{"accessrole": "open_date", "date": [{"dateType": "Available", "dateValue": "2019-07-29"}], "displaytype": "detail", "download_preview_message": "", "file_order": 0, "filename": "5_0003.pdf", "filesize": [{"value": "2.7 MB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_free", "mimetype": "application/pdf", "size": 2700000.0, "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": "\u30ad\u30fc\u30ef\u30fc\u30c9", "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": "\u8a00\u8a9e", "attribute_value_mlt": [{"subitem_language": "eng"}]}, "item_resource_type": {"attribute_name": "\u8cc7\u6e90\u30bf\u30a4\u30d7", "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": "\u30bf\u30a4\u30c8\u30eb", "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": ["453/454", "176/488/489"], "permalink_uri": "http://hdl.handle.net/10191/5658", "pubdate": {"attribute_name": "\u516c\u958b\u65e5", "attribute_value": "2008-04-08"}, "publish_date": "2008-04-08", "publish_status": "0", "recid": "2193", "relation": {}, "relation_version_is_last": true, "title": ["A Characterization of Generalized Saddle Points for Vector-Valued Functions via Scalarization"], "weko_shared_id": null}