集值变分不等式的广义间隙函数和误差界  

Generalized Gap Functions and Error Bounds for Set-valued Variational Inequalities

作　　者：胡艳红[1] 赵张超 

机构地区：[1]哈尔滨师范大学

出　　处：《哈尔滨师范大学自然科学学报》2016年第4期5-7,共3页Natural Science Journal of Harbin Normal University

基　　金：黑龙江省教育厅项目(12521147);哈师大青年学术骨干资助计划项目(KGB201004)

摘　　要：首先定义了弱集值变分不等式的广义正则间隙函数并研究其性质,由此给出了误差界结果.然后利用集值变分不等式的解和弱集值变分不等式的解之间的关系,证明了在某些条件下弱集值变分不等式的间隙函数就是集值变分不等式的间隙函数,也相应的得到了误差界结果.The generalized gap functions of weak set - valued variational inequality problem is established and error bounds is obtained. Then, according to the relation of the solution of set - valued variational inequality problem and weak set -valued variational inequality problem, under certain condition, setvalued variational inequality problem and weak setvalued variational inequality problem have the same gap function are fpimd, and also error bounds is obtained.

关 键 词：集值变分不等式 间隙函数 误差界 

分 类 号：O178[理学—数学]