Generalized gap functions and error bounds for generalized variational inequalities

被引：0

作者：

Hu, Yan-hong ^{[1
,2
]}

Song, Wen ^{[1
,2
]}

机构：

[1] Harbin Normal Univ, Dept Math, Harbin 150080, Peoples R China

[2] NE Normal Univ, Dept Math, Changchun 130024, Peoples R China

来源：

APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2009年 / 30卷 / 03期

基金：

黑龙江省自然科学基金; 中国国家自然科学基金;

关键词：

variational inequality; gap functions; error bounds; MERIT FUNCTIONS;

D O I：

10.1007/s10483-009-0305-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider some classes of generalized gap functions for two kinds of generalized variational inequality problems. We obtain error bounds for the underlying variational inequalities using the generalized gap functions under the condition that the involved mapping F is g-strongly monotone with respect to the solution, but not necessarily continuous differentiable, even not locally Lipschitz.

引用

页码：313 / 321

页数：9

共 50 条

[31] Mixed quasi-variational inequalities involving error bounds [J].

Khan, Suhel Ahmad ;

Iqbal, Javid ;

Shehu, Yekini .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2015, :1-19

[32] Error bounds for strongly monotone and Lipschitz continuous variational inequalities [J].

Khanh Duy Pham ;

Nhut Minh Bui .

OPTIMIZATION LETTERS, 2018, 12 (05) :971-984

[33] Gap functions for vector variational inequalities [J].

Charitha, C. ;

Dutta, Joydeep ;

Lalitha, C. S. .

OPTIMIZATION, 2015, 64 (07) :1499-1520

[34] Error bounds for generalized vector inverse quasi-variational inequality Problems with point to set mappings [J].

Chang, S. S. ;

Salahuddin ;

Liu, M. ;

Wang, X. R. ;

Tang, J. F. .

AIMS MATHEMATICS, 2021, 6 (02) :1800-1815

[35] On the generalized monotonicity of variational inequalities [J].

Bai, Min-Ru ;

Zhou, Shu-Zi ;

Ni, Gu-Yan .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2007, 53 (06) :910-917

[36] A new class of strong mixed vector GQVIP-generalized quasi-variational inequality problems in fuzzy environment with regularized gap functions based error bounds [J].

Nguyen Van Hung ;

Vo Minh Tam ;

Zhou, Yong .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2021, 381

[37] GENERALIZED VISCOSITY SCHEME FOR SOLVING SYSTEMS OF GENERALIZED VARIATIONAL INEQUALITIES [J].

Yang, Yantao .

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2021, 22 (08) :1475-1485

[38] Gap functions and error bounds for inverse quasi-variational inequality problems [J].

Aussel, Didier ;

Gupta, Rachana ;

Mehra, Aparna .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 407 (02) :270-280

[39] On generalized Nash games and variational inequalities [J].

Facchinei, Francisco ;

Fischer, Andreas ;

Piccialli, Veronica .

OPERATIONS RESEARCH LETTERS, 2007, 35 (02) :159-164

[40] Regularized gap functions and error bounds for generalized mixed weak vector quasivariational inequality problems in fuzzy environments [J].

Nguyen Van Hung ;

Vo Minh Tam ;

Tuan Nguyen ;

O'Regan, Donal .

FUZZY SETS AND SYSTEMS, 2020, 400 :162-176

← 1 2 3 4 5 →