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
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
收藏
页码:431 / 440
页数:10
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