Some saddle-point theorems for vector-valued functions

被引：0

作者：

Nguyen Xuan Hai ^{[1
]}

Nguyen Hong Quan ^{[1
]}

Vo Viet Tri ^{[2
]}

机构：

[1] Posts & Telecommun Inst Technol, Dept Sci Fundamentals, Ho Chi Minh City, Vietnam

[2] Thu Dau Mot Univ, Div Appl Math, Thu Dau Mot City, Binh Duong, Vietnam

来源：

JOURNAL OF GLOBAL OPTIMIZATION | 2023年 / 86卷 / 01期

关键词：

Vector saddle point problems; Algebraic interior; Vectorial closure; Vector-cyclic quasimonotonicity; algebraic" semicontinuity; MINIMAX THEOREMS; EXISTENCE THEOREMS; SETS;

D O I：

10.1007/s10898-022-01250-z

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：

This paper concerns with vector saddle point problems where the image space of the objective bifunction is not endowed with any topology and the orders in the image space are defined from general sets. Some new existence results of vector saddle points are established based on using notions of vector-cyclic quasimonotonicity together with notions of "algebraic" semicontinuity, without assuming convexity assumptions.

引用

页码：141 / 161

页数：21

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