A DUALITY APPROACH TO MINIMAX RESULTS FOR QUASI-SADDLE FUNCTIONS IN FINITE DIMENSIONS

被引：4

作者：

PASSY, U ^{[1
]}

PRISMAN, EZ ^{[1
]}

机构：

[1] YORK UNIV,FAC ADM STUDIES,N YORK M3J 1P3,ONTARIO,CANADA

来源：

MATHEMATICAL PROGRAMMING | 1992年 / 55卷 / 01期

关键词：

QUASI-CONVEX FUNCTION; SADDLE POINT THEOREM; DUALITY; LAGRANGIANS;

D O I：

10.1007/BF01581192

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

In this paper we show how saddle point theorems for a quasiconvex-quasiconcave function can be derived from duality theory. A symmetric duality framework that provides the machinery for deriving saddle point theorems is presented. Generating the theorems, via the framework, provides a deeper understanding of assumptions employed in existing theorems which do not utilize duality theory.

引用

页码：81 / 98

页数：18

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