{"created":"2023-06-20T15:06:39.116413+00:00","id":2032,"links":{},"metadata":{"_buckets":{"deposit":"d5372062-83c0-41ba-bff0-0b9bda54baed"},"_deposit":{"created_by":3,"id":"2032","owners":[3],"pid":{"revision_id":0,"type":"depid","value":"2032"},"status":"published"},"_oai":{"id":"oai:ynu.repo.nii.ac.jp:00002032","sets":["316:317"]},"author_link":["163"],"item_2_biblio_info_8":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2006-02","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"1","bibliographicPageEnd":"29","bibliographicPageStart":"21","bibliographicVolumeNumber":"23","bibliographic_titles":[{"bibliographic_title":"Japan Journal of Industrial and Applied Mathematics"}]}]},"item_2_description_17":{"attribute_name":"フォーマット","attribute_value_mlt":[{"subitem_description":"application/pdf","subitem_description_type":"Other"}]},"item_2_description_42":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"subitem_description":"postprint","subitem_description_type":"Other"}]},"item_2_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"One of the most important properties of a convex function is that a local optimum is also a global optimum. This paper explores the discrete analogue of this property. We consider arbitrary locality in a discrete space and the corresponding local optimum of a function over the discrete space. We introduce the corresponding notion of discrete convexity and show that the local optimum of a function satisfying the discrete convexity is also a global optimum. The special cases include discretely-convex, integrally-convex, M-convex, W-convex, L-convex, and -convex functions.","subitem_description_type":"Abstract"}]},"item_2_full_name_2":{"attribute_name":"著者(ヨミ)","attribute_value_mlt":[{"nameIdentifiers":[{},{}],"names":[{"name":"ウイ, タカシ"}]}]},"item_2_full_name_3":{"attribute_name":"著者別名","attribute_value_mlt":[{"nameIdentifiers":[{},{}],"names":[{}]}]},"item_2_publisher_35":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"Kinokuniya Co Ltd"}]},"item_2_source_id_9":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"09167005","subitem_source_identifier_type":"ISSN"}]},"item_2_text_4":{"attribute_name":"著者所属","attribute_value_mlt":[{"subitem_text_value":"Yokohama Natl Univ, Fac Econ, Hodogaya Ku, Yokohama, Kanagawa 2408501, Japan = 横浜国立大学経済学部"}]},"item_2_version_type_18":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_ab4af688f83e57aa","subitem_version_type":"AM"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Ui, Takashi"}],"nameIdentifiers":[{"nameIdentifier":"163","nameIdentifierScheme":"WEKO"},{"nameIdentifier":"60312815","nameIdentifierScheme":"e-Rad","nameIdentifierURI":"https://kaken.nii.ac.jp/ja/search/?qm=60312815"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2016-09-15"}],"displaytype":"detail","filename":"Ui2005c.pdf","filesize":[{"value":"112.5 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"Ui2005c.pdf","url":"https://ynu.repo.nii.ac.jp/record/2032/files/Ui2005c.pdf"},"version_id":"ca04c7d4-9e83-4fae-982d-3496066aa147"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"discrete optimization","subitem_subject_scheme":"Other"},{"subitem_subject":"convex function","subitem_subject_scheme":"Other"},{"subitem_subject":"quasiconvex function","subitem_subject_scheme":"Other"},{"subitem_subject":"Nash equilibrium","subitem_subject_scheme":"Other"},{"subitem_subject":"potential game","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 note on discrete convexity and local optimality","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"A note on discrete convexity and local optimality"}]},"item_type_id":"2","owner":"3","path":["317"],"pubdate":{"attribute_name":"公開日","attribute_value":"2007-10-19"},"publish_date":"2007-10-19","publish_status":"0","recid":"2032","relation_version_is_last":true,"title":["A note on discrete convexity and local optimality"],"weko_creator_id":"3","weko_shared_id":3},"updated":"2023-06-20T19:18:30.406931+00:00"}