On Lipschitz continuity of approximate solutions to set-valued equilibrium problems via nonlinear scalarization

被引：1

作者：

Anh, Lam Quoc ^{[1
]}

Tam, Tran Ngoc ^{[2
]}

Danh, Nguyen Huu ^{[3
,4
]}

机构：

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

[2] Can Tho Univ, Coll Nat Sci, Dept Math, Can Tho City, Vietnam

[3] Tay Do Univ, Dept Math, Can Tho City, Vietnam

[4] Vietnam Natl Univ, Univ Sci, Fac Math & Comp Sci, Ho Chi Minh City, Vietnam

来源：

OPTIMIZATION | 2023年 / 72卷 / 02期

关键词：

Lipschitz continuity; approximate solution; equilibrium problem; Browder variational inclusion; nonlinear scalarization; HOLDER CONTINUITY; VARIATIONAL-INEQUALITIES; SENSITIVITY-ANALYSIS; LOWER SEMICONTINUITY; OPTIMIZATION; EXISTENCE; PROPERTY; MAP;

D O I：

10.1080/02331934.2021.1970753

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 parametric set-valued equilibrium problems in normed spaces. By virtue of the Gerstewitz nonlinear scalarization function along with relaxed concavity assumptions, we obtain the Lipschitz continuity property of solution maps to such problems. The treatment and obtained results for these problems are new and different from the existing ones in the literature. We apply the main results to the Browder variational inclusion to illustrate for their applicability.

引用

页码：439 / 461

页数：23

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