Some saddle-point theorems for vector-valued functions

被引：0
|
作者：
Nguyen Xuan Hai
Nguyen Hong Quan
Vo Viet Tri
机构：
[1] Posts and Telecommunications Institute of Technology,Department of Scientific Fundamentals
[2] Thu Dau Mot University,Division of Applied Mathematics
来源：
Journal of Global Optimization | 2023年 / 86卷
关键词：
Vector saddle point problems; Algebraic interior; Vectorial closure; Vector-cyclic quasimonotonicity; “algebraic” semicontinuity; 49J27; 90C29; 90C20; 47H05; 54C08; 54C30;
D O I：
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中图分类号：
学科分类号：
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.
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页码：141 / 161
页数：20
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