Minimax results and finite-dimensional separation

作     者：Frenk, JFB Kassay, G 

作者机构：Erasmus Univ Inst Econometr NL-3000 DR Rotterdam Netherlands Univ Babes Bolyai Fac Math & Informat R-3400 Cluj Napoca Romania 

出 版 物：《JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS》 (优选法理论与应用杂志)

年 卷 期：2002年第113卷第2期

页      面：409-421页

核心收录：

学科分类：1201[管理学-管理科学与工程(可授管理学、工学学位)] 07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：World Bank Group  WBG  (46174) 

主　　题：generalized convex functions minimax theorems 

摘      要：In this paper, we review and unify some classes of generalized convex functions introduced by different authors to prove minimax results in infinite-dimensional spaces and show the relations between these classes. We list also for the most general class already introduced by Jeyakumar (Ref. 1) an elementary proof of a minimax result. The proof of this result uses only a finite-dimensional separation theorem;although this minimax result was already presented by Neumann (Ref. 2) and independently by Jeyakumar (Ref. 1), we believe that the present proof is shorter and more transparent.