Continuity of the Solution Mappings to Primal and Dual Vector Equilibrium Problems

被引：0

作者：

Bantaojai, Thanatporn ^{[1
]}

Tran Quoc Duy ^{[2
,3
]}

机构：

[1] Valaya Alongkorn Rajabhat Univ Royal Patronage, Pathum Thani, Thailand

[2] Ton Duc Thang Univ, Inst Computat Sci, Div Computat Math & Engn, Ho Chi Minh City, Vietnam

[3] Ton Duc Thang Univ, Fac Math & Stat, Ho Chi Minh City, Vietnam

来源：

THAI JOURNAL OF MATHEMATICS | 2019年 / 17卷

关键词：

vector equilibrium problem; dual vector equilibrium problem; vector optimization problem; vector variational inequality; cone-continuity; solution mapping; LOWER SEMICONTINUITY; EFFICIENT SOLUTIONS; WELL-POSEDNESS; SOLUTION MAPS; EXISTENCE; SET; SUM;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider strong forms of the primal and dual vector equilibrium problems in Hausdorff topological vector spaces. Under suitable assumptions, some continuity properties of solution mappings to such problems are established. The mains results improve recent existing ones in the literature. Some examples are provided to illustrate our results. Applications to vector optimization problems and vector variational inequalities are also discussed.

引用

页码：90 / 102

页数：13

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