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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Φ-相依集,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. Gap function as a bridge between variational inequalities and optimization problems gradually becomes one of hot topics in variational inequality research.Through -contingent cone and second-order -contingent set,this paper discusses second-order differential and sensitivity properties of gap function of Minty vector variational-like inequalities
作者 崔蓉 刘学文
出处 《重庆工商大学学报(自然科学版)》 2012年第12期1-5,共5页 Journal of Chongqing Technology and Business University:Natural Science Edition
基金 国家自然科学基金资助项目(11001289) 重庆市教委科研资助项目(KJ100608)
关键词 Minty向量似变分不等式 间隙函数 相依导数 Minty vector variational-like inequalities gap function contingent derivative
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