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
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
收藏
页码:313 / 321
页数:9
相关论文
共 50 条
[41]   Generalized D-gap functions for hemivariational inequalities in Hilbert spaces [J].
Hu, Rong ;
Xiao, Yi-bin .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2024, 442
[42]   Saddle points and gap functions for weak generalized Ky Fan inequalities [J].
Li, G. H. ;
Li, S. J. .
OPTIMIZATION LETTERS, 2018, 12 (06) :1265-1280
[43]   Mixed variational inequalities with various error bounds for random fuzzy mappings [J].
Khan, Suhel Ahmad ;
Cholamjiak, Watcharaporn .
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2018, 34 (04) :2313-2324
[44]   EXISTENCE AND ERROR BOUNDS OF STOCHASTIC DIFFERENTIAL VARIATIONAL INEQUALITIES [J].
Guan, Fei ;
Van Thien Nguyen ;
Peng, Zijia .
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2023, 24 (10) :2259-2276
[45]   Error inequalities for a generalized trapezoid rule [J].
Ujevic, N .
APPLIED MATHEMATICS LETTERS, 2006, 19 (01) :32-37
[46]   Nonzero solutions for generalized variational inequalities by index [J].
Wang, Bo .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 334 (01) :621-626
[47]   Strongly nonlinear variational inequalities and generalized pseudocontractions [J].
Verma R.U. .
Rendiconti del Circolo Matematico di Palermo, 1999, 48 (2) :201-208
[48]   AN ITERATIVE METHOD FOR GENERALIZED VARIATIONAL INEQUALITIES WITH APPLICATIONS [J].
Wu, Changqun ;
Cho, Sun Young .
FIXED POINT THEORY, 2011, 12 (02) :497-508
[49]   Generalized variational inequalities and associated nonlinear equations [J].
Verma, RU .
CZECHOSLOVAK MATHEMATICAL JOURNAL, 1998, 48 (03) :413-418
[50]   Multivalued Variational Inequalities with Generalized Fractional Φ-Laplacians [J].
Le, Vy Khoi .
FRACTAL AND FRACTIONAL, 2024, 8 (06)