Saddle points for vector valued functions: existence, necessary and sufficient theorems

被引：9

作者：

Duca, Dorel I. ^{[1
]}

Lupsa, Liana ^{[1
]}

机构：

[1] Univ Babes Bolyai, Fac Math & Comp Sci, Cluj Napoca 400084, Romania

来源：

JOURNAL OF GLOBAL OPTIMIZATION | 2012年 / 53卷 / 03期

关键词：

Convex function; Vector-valued function; Weak saddle point; Vector saddle point problem; Vector variational inequlitie; E-CONVEX FUNCTIONS; EQUILIBRIUM PROBLEMS; MINIMAX THEOREM; SETS;

D O I：

10.1007/s10898-011-9721-2

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

Necessary and sufficient conditions for a point to be a weak saddle point of a vector valued function (i.e. to be a solution of the vector saddle point problem) are given. Also, an existence result for a vector saddle point to have a solution is given.

引用

页码：431 / 440

页数：10

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