Generalized gap functions and error bounds for generalized variational inequalities  

作　　者：胡艳红 宋文 Xie-ping DING 

机构地区：[1]Department of Mathematics, Northeast Normal University, Changchun 130024, P. R. China [2]Department of Mathematics, Harbin Normal University, Harbin 150080, P. R. China [3]不详

出　　处：《Applied Mathematics and Mechanics(English Edition)》2009年第3期313-321,共9页应用数学和力学（英文版）

基　　金：supported by the National Natural Science Foundation of China (No. 10671050);the Natural Science Foundation of Heilongjiang Province of China (No. A200607)

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.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.

关 键 词：variational inequality gap functions error bounds 

分 类 号：O221.2[理学—运筹学与控制论]