| 一类Hartman-Stampacchia型集值向量似变分不等式的间隙函数 |
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| 引用本文： | 张征.一类Hartman-Stampacchia型集值向量似变分不等式的间隙函数[J].内江师范学院学报,2012,27(4):12-14. |
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| 作者姓名： | 张征 |
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| 作者单位： | 西华师范大学数学与信息学院,四川南充,637002 |
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| 摘 要： | 间隙函数是将变分不等式转化为优化问题的有力工具,在变分不等式解的非空性、解的稳定性研究中被广泛使用.在研究强Hartman-Stampacchia型集值向量似变分不等式（SHSVL）和弱Hartman-Stampacchia型集值向量似变分不等式（WHSVL）的基础上,用数量化方法得到具有集值映射的SHSVL和WHSVL的间隙函数.
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| 关 键 词： | 似变分不等式 集值 数量化 间隙函数 |
Gap Functions of a Kind of Hartman-Stampacchia Mutivalued Vector Variational-like Inequalities |
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| ZHANG Zheng.Gap Functions of a Kind of Hartman-Stampacchia Mutivalued Vector Variational-like Inequalities[J].Journal of Neijiang Teachers College,2012,27(4):12-14. |
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| Authors: | ZHANG Zheng |
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| Institution: | ZHANG Zheng(College of Mathematics and Information,China West Normal University,Nanchong,Sichuan 637002,China) |
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| Abstract: | Gap function is a powerful tool for translating variational inequalities into optimization problems,and is widely used to research the nonempty and the stability of variational inequality results.The strong Hartman and Stampacchia mutivalued vector variational-like inequality(SHSVL for short) and the weak Hartman and Stampacchia mutivalued vector variational-like inequality(WHSVL for short) are investigated.Furthermore,the gap functions of SHSVL and WHSVL that have mutivalued mapping are discussed by means of quantification. |
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| Keywords: | variational-like inequality set-valued mapping scalarization gap function |
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