Stability of solution mappings for parametric bilevel vector equilibrium problems

被引：13

作者：

Lam Quoc Anh ^{[1
]}

Nguyen Van Hung ^{[2
,3
]}

机构：

[1] Can Tho Univ, Teacher Coll, Dept Math, Can Tho, Vietnam

[2] Ton Due Thang Univ, Dept Management Sci & Technol Dev, Ho Chi Minh City, Vietnam

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

来源：

COMPUTATIONAL & APPLIED MATHEMATICS | 2018年 / 37卷 / 02期

关键词：

Bilevel vector equilibrium problem; Variational inequality with equilibrium constraints; Optimization problems with equilibrium constraints; Upper (lower) semicontinuity; Outer-continuity; Outer-openness; QUASI-VARIATIONAL INCLUSIONS; APPROXIMATE SOLUTION SETS; LOWER SEMICONTINUITY; HOLDER CONTINUITY; WELL-POSEDNESS; BANACH-SPACES; CONSTRAINTS; INEQUALITIES; OPTIMIZATION; SENSITIVITY;

D O I：

10.1007/s40314-016-0411-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we first revisit the parametric bilevel vector equilibrium problems in Hausdorff topological vector spaces. Then we study the stability conditions such as (Hausdorff) upper semicontinuity, (Hausdorff) lower semicontinuity, outer-continuity and outer-openness of solutions for such problems. Many examples are provided to illustrate the essentialness of the imposed assumptions. For the applications, we obtain the stability results for the parametric vector variational inequality problems with equilibrium constraints and parametric vector optimization problems with equilibrium constraints.

引用

页码：1537 / 1549

页数：13

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