{"id":2617,"date":"2023-03-02T16:14:47","date_gmt":"2023-03-02T07:14:47","guid":{"rendered":"https:\/\/www.waseda.jp\/fsss\/iass\/?p=2617"},"modified":"2023-04-05T15:10:43","modified_gmt":"2023-04-05T06:10:43","slug":"iass-%e7%92%b0%e5%a2%83%e5%95%8f%e9%a1%8c%e3%81%a8%e9%9d%9e%e7%b7%9a%e5%bd%a2%e5%8b%95%e5%ad%a6%e7%a0%94%e7%a9%b6%e3%82%b0%e3%83%ab%e3%83%bc%e3%83%97%e3%80%80%e3%82%bb%e3%83%9f%e3%83%8a%e3%83%bc-2-2-3","status":"publish","type":"post","link":"https:\/\/www.waseda.jp\/fsss\/iass\/news\/2023\/03\/02\/2617\/","title":{"rendered":"Hartman-Stampacchia theorem, Gale-Nikaido-Debreu lemma, and Brouwer and Kakutani fixed-point theorems"},"content":{"rendered":"
\n\n\n\n\n\n\n\n\n\n\n
\n

\u65e5\u6642<\/h3>\n<\/td>\n

2023\u5e743\u670810\u65e5\uff08\u91d1\uff0917\uff1a00\uff5e19\uff1a00<\/td>\n<\/tr>\n
\n

\u5834\u6240<\/h3>\n<\/td>\n

\u30aa\u30f3\u30e9\u30a4\u30f3<\/td>\n<\/tr>\n
\n

\u6f14\u984c<\/h3>\n<\/td>\n

Hartman-Stampacchia theorem, Gale-Nikaido-Debreu lemma, and Brouwer and Kakutani fixed-point theorems<\/td>\n<\/tr>\n
\n

\u8b1b\u6f14\u8005<\/h3>\n<\/td>\n

Cuong Tran Viet<\/p>\n

Universit\u00e9 Paris 1, Sorbonne Economics Center, Early stage researcher<\/td>\n<\/tr>\n

\n

\u30a2\u30d6\u30b9\u30c8\u30e9\u30af\u30c8<\/h3>\n<\/td>\n

This paper uses the Hartman-Stampacchia theorems as primary tool to prove the Gale-Nikaido-Debreu lemma. It also establishes a full equivalence circle among the Hartman Stampacchia theorems, the Gale-Nikaido-Debreu lemmas, and Kakutani and Brouwer fixed point theorems.<\/td>\n<\/tr>\n
\n

\u53c2\u52a0\u7533\u8fbc<\/h3>\n<\/td>\n

\u3053\u3061\u3089<\/a>\u3088\u308a\u53c2\u52a0\u767b\u9332\u304f\u3060\u3055\u3044<\/td>\n<\/tr>\n
\n

\u5bfe\u8c61<\/h3>\n<\/td>\n

\u5b66\u751f\u3001\u6559\u8077\u54e1\u3001\u4e00\u822c<\/td>\n<\/tr>\n
\n

\u4e3b\u50ac<\/h3>\n<\/td>\n

\u65e9\u7a32\u7530\u5927\u5b66\u5148\u7aef\u793e\u4f1a\u79d1\u5b66\u7814\u7a76\u6240<\/td>\n<\/tr>\n
\n

\u304a\u554f\u3044\u5408\u308f\u305b<\/h3>\n<\/td>\n

\u5148\u7aef\u793e\u4f1a\u79d1\u5b66\u7814\u7a76\u6240\u4e8b\u52d9\u5c40 iass@list.waseda.jp<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table><\/div>\n

 <\/p>\n","protected":false},"excerpt":{"rendered":"

\u65e5\u6642 2023\u5e743\u670810\u65e5\uff08\u91d1\uff0917\uff1a00\uff5e19\uff1a00 \u5834\u6240 \u30aa\u30f3\u30e9\u30a4\u30f3 \u6f14\u984c Hartman-Stampacchia theorem, Gale-Nikaido-Debreu lemma, and Brouwer an […]<\/p>\n","protected":false},"author":4,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[95,1],"tags":[28],"class_list":["post-2617","post","type-post","status-publish","format-standard","hentry","category-news-en","category-news","tag-research"],"acf":[],"_links":{"self":[{"href":"https:\/\/www.waseda.jp\/fsss\/iass\/wp-json\/wp\/v2\/posts\/2617","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.waseda.jp\/fsss\/iass\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.waseda.jp\/fsss\/iass\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.waseda.jp\/fsss\/iass\/wp-json\/wp\/v2\/users\/4"}],"replies":[{"embeddable":true,"href":"https:\/\/www.waseda.jp\/fsss\/iass\/wp-json\/wp\/v2\/comments?post=2617"}],"version-history":[{"count":2,"href":"https:\/\/www.waseda.jp\/fsss\/iass\/wp-json\/wp\/v2\/posts\/2617\/revisions"}],"predecessor-version":[{"id":2692,"href":"https:\/\/www.waseda.jp\/fsss\/iass\/wp-json\/wp\/v2\/posts\/2617\/revisions\/2692"}],"wp:attachment":[{"href":"https:\/\/www.waseda.jp\/fsss\/iass\/wp-json\/wp\/v2\/media?parent=2617"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.waseda.jp\/fsss\/iass\/wp-json\/wp\/v2\/categories?post=2617"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.waseda.jp\/fsss\/iass\/wp-json\/wp\/v2\/tags?post=2617"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}