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(h,φ)-伴随切锥及其性质 被引量:2

(h,φ)-Contingent Cone and its Properties
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摘要 讨论了(h,φ)-伴随切锥的性质。通过具体例子说明它是伴随切锥的推广,给出了复合函数取下极限的性质,籍此和Ben-Tal广义代数运算的性质给出了(h,φ)-伴随切锥的两种等价刻画,为计算伴随切锥提供了一种方法。 Properties of(h,φ)-contingent cone were investigated.An example was given to show that it was a generalization of contingent cone.A property for low limit of composite function was presented,by which and Ben-Tal algebraic operation,two kinds of equivalent(h,φ)-characterizations were established.Hence a method for calculating contingent cone was provided.
机构地区 南昌大学数学系
出处 《南昌大学学报(工科版)》 CAS 2011年第1期90-92,共3页 Journal of Nanchang University(Engineering & Technology)
基金 国家自然科学基金资助项目(10461007) 江西省自然科学基金资助项目(2009GZS0021) 江西省教育厅科技项目(GJJ09069)
关键词 伴随切锥 Ben-Tal代数运算 广义梯度 (h φ)-contingent cone Ben-Tal algebraic operation (h φ)-generalized gradient
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共引文献48

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