Stability analysis for set-valued equilibrium problems with applications to Browder variational inclusions

被引：5

作者：

Anh, L. Q. ^{[1
]}

Duoc, P. T. ^{[2
,3
]}

Tam, T. N. ^{[4
,5
]}

Thang, N. C. ^{[6
]}

机构：

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

[2] Univ Sci, Ho Chi Minh City, Vietnam

[3] Vietnam Natl Univ, Ho Chi Minh City, Vietnam

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

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

[6] Nam Can Tho Univ, Dept Math, Can Tho, Vietnam

来源：

OPTIMIZATION LETTERS | 2021年 / 15卷 / 02期

关键词：

Stability analysis; Set-valued equilibrium problem; Hausdorff continuity; Browder variational inclusion; APPROXIMATE SOLUTION MAPPINGS; HOLDER CONTINUITY; LIPSCHITZ CONTINUITY; SEMICONTINUITY; INEQUALITIES; OPTIMIZATION;

D O I：

10.1007/s11590-020-01604-0

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 study two types of strong set-valued equilibrium problems in Hausdorff locally convex topological vector spaces. Under suitable assumptions, stability in the sense of Hausdorff continuity of solutions is established. Main results are applied to Browder variational inclusions.

引用

页码：613 / 626

页数：14

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