Minty向量似变分不等式的间隙函数的二阶可微性和灵敏性

Second-order Differential and Sensitivity Properties of Gap Function of Minty Vector Variational-like Inequalities
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    摘要:

    间隙函数作为连接变分不等式与最优化问题的桥梁,逐渐成为变分不等式研究的热点之一,利用Φ-相依锥和二阶-相依聚,讨论了Minty向量似变分不等式的间隙函数的二阶可微性和灵敏性。

    Abstract:

    Gap function as a bridge between variational inequalities and optimition problems gradually becomes one of hot topics in variational inequality research.Through Φ-contingent cone and second-order Φ-contingent set,this paper discusses second-order differential and sensitivity properties of gap function of Minty vector variational-like inequalities.

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崔 蓉,刘学文. Minty向量似变分不等式的间隙函数的二阶可微性和灵敏性[J].重庆工商大学学报(自然科学版),2012,29(12):1-5
CUI Rong, LIU Xue-wen. Second-order Differential and Sensitivity Properties of Gap Function of Minty Vector Variational-like Inequalities[J]. Journal of Chongqing Technology and Business University(Natural Science Edition),2012,29(12):1-5

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