## 留言板

 引用本文: 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.
LIU Dan-yang, JIANG Ya. Scalarization of Mixed Vector Variational Inequalities and Error Bounds of Gap Functions[J]. Applied Mathematics and Mechanics, 2017, 38(6): 715-726. doi: 10.21656/1000-0887.370292
 Citation: LIU Dan-yang, JIANG Ya. Scalarization of Mixed Vector Variational Inequalities and Error Bounds of Gap Functions[J]. Applied Mathematics and Mechanics, 2017, 38(6): 715-726.

• 中图分类号: O178

## Scalarization of Mixed Vector Variational Inequalities and Error Bounds of Gap Functions

Funds: The National Natural Science Foundation of China（11371015）
• 摘要: 利用Konnov对变分不等式问题的标量化方法，对一般的强变分不等式（SVI）和弱变分不等式（WVI）进行了进一步的推广.主要介绍了基于集值映射的强广义混合向量变分不等式（SGMVVI）和弱广义混合向量变分不等式（WGMVVI），考虑了与它们相关的间隙函数，在合适的条件下讨论了强广义混合集值变分不等式（SGMVI）的间隙函数和SGMVVI的间隙函数之间的关系，以及WGMVVI和SGMVI的间隙函数之间的关系，最后讨论了它们的间隙函数的全局误差界.
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##### 出版历程
• 收稿日期:  2016-09-23
• 修回日期:  2017-05-10
• 刊出日期:  2017-06-15

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