Regularized gap functions and error bounds for generalized mixed strong vector quasiequilibrium problems

被引：21

作者：

Lam Quoc Anh ^{[1
]}

Nguyen Van Hung ^{[2
,3
]}

Vo Minh Tam ^{[4
]}

机构：

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

[2] Ton Duc 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

[4] Dong Thap Univ, Dept Math, 783 Pham Huu Lau St,Ward 6, Cao Lanh City, Vietnam

来源：

COMPUTATIONAL & APPLIED MATHEMATICS | 2018年 / 37卷 / 05期

关键词：

Strong vector quasiequilibrium; Strong monotonicity; Error bounds; Regularized gap function; Scalarization methods; 49J53; 58E35; 90C25; 90C33; LOWER SEMICONTINUITY; MERIT FUNCTIONS; DESCENT METHODS; SOLUTION SETS; STABILITY; EXISTENCE; SYSTEM;

D O I：

10.1007/s40314-018-0670-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider generalized mixed strong vector quasiequilibrium problems in infinite-dimensional spaces. Using the nonlinear scalarization method, we first propose gap functions for such problems. Then, based on the Moreau-Yosida regularization of these functions, we introduce regularized gap functions for the reference problems. Next, we study sufficient conditions for the mentioned functions to be continuous. Finally, error bounds for the concerning problems in terms of regularized gap functions are investigated. Some examples are provided to illustrate our results.

引用

页码：5935 / 5950

页数：16

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