广义变分不等式的广义间隙函数和误差界  

Generalized Gap Functions and Error Bounds for Generalized Variational Inequalities

作　　者：胡艳红[1,2] 宋文[1,2] 

机构地区：[1]东北师范大学数学系,长春130024 [2]哈尔滨师范大学数学系,哈尔滨150080

出　　处：《应用数学和力学》2009年第3期301-308,共8页Applied Mathematics and Mechanics

基　　金：国家自然科学基金资助项目(10671050);黑龙江省自然科学基金资助项目(A200607)

摘　　要：针对两类广义变分不等式,分别定义了几族广义间隙函数,并研究其性质.利用这些广义间隙函数,在所研究变分不等式问题的目标函数F关于解是g-强单调的条件下,得到了误差界估计,这里不需要假设F是连续可微或局部Lipschitz的.Some classes of generalized gap functions for two kinds of generalized variational inequality problems are considered. Error bounds for the underlying variational inequalities by using the generalized gap functions under the condition that the involved mapping F is g-strongly monotone with respect to the solution were obtained. It is not necessary to suppcsethat Fis continuously differential nor of local Lipschitz. with respect to the solution were obtained. It is not necessary to suppose that Fis continuously differentiable local Lipschitz.

关 键 词：变分不等式 间隙函数 误差界 

分 类 号：O221.2[理学—运筹学与控制论] O29[理学—数学]