On the stability of approximate solutions to set-valued equilibrium problems

被引：8

作者：

Lam Quoc Anh ^{[1
]}

Pham Thanh Duoc ^{[2
]}

Tran Ngoc Tam ^{[3
,4
]}

机构：

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

[2] Vo Truong Toan Univ, Dept Math, Hauglang, Vietnam

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

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

来源：

OPTIMIZATION | 2020年 / 69卷 / 7-8期

关键词：

Equilibrium problem; variational inequality; linear scalarization; stability of approximate solutions; traffic network equilibrium problem; SOLUTION MAPPINGS; SOLUTION MAPS; OPTIMIZATION PROBLEMS; LOWER SEMICONTINUITY; WELL-POSEDNESS; CONTINUITY; EXISTENCE; CONSTRAINTS; SENSITIVITY;

D O I：

10.1080/02331934.2019.1646744

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：

In this paper, we consider set-valued equilibrium problems in Hausdorff locally convex topological vector spaces. Based on linear scalarization techniques for sets, we study sufficient conditions for the stability of approximate solutions to such problems. Variational inequalities with equilibrium constraints and weak traffic network equilibrium problems are also discussed as applications of the main results.

引用

页码：1583 / 1599

页数：17

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