应用数学和力学2017，Vol.38Issue(6)：715-726,12.DOI:10.21656/1000-0887.370292
混合向量变分不等式标量化及间隙函数误差界
Scalarization of Mixed Vector Variational Inequalities and Error Bounds of Gap Functions
摘要
Abstract
The Konnov scalarization method for variational inequality problems was used to further generalize the classical strongly variational inequalities (SVIs) and the classical weakly variational inequalities (WVIs).The strongly generalized mixed vector variational inequalities (SGMVVIs) and the weakly generalized mixed vector variational inequalities (WGMVVIs) were studied based on set-valued mappings in view of their gap functions.Under proper conditions,the relationship between the gap function of the strongly generalized mixed set-valued variational inequality (SGMVI) and that of the SGMVVI,and the relationship between the gap functions of the WGMVVI and the SGMVI,were discussed.At last,the global error bounds of the gap functions were obtained.关键词
广义混合向量变分不等式/集值映射/标量化/间隙函数/误差界Key words
generalized mixed vector variational inequality/set-valued mapping/scalarization/gap function/error bound分类
数理科学引用本文复制引用
刘丹阳,蒋娅..混合向量变分不等式标量化及间隙函数误差界[J].应用数学和力学,2017,38(6):715-726,12.基金项目
The National Natural Science Foundation of China(11371015)国家自然科学基金(11371015) （11371015）
教育部科学技术重点项目(211163) （211163）
四川省青年科技基金(2012JQ0035) （2012JQ0035）
四川省教育厅一般项目(16ZB0186)本文作者衷心感谢西华师范大学校基金青年项目(15D005)对本文的资助. （16ZB0186）
