(h,φ)-伴随切锥及其性质  

(h,φ)-Contingent Cone and its Properties

作　　者：徐义红[1] 谢燕霞[1] 汪涛[1] 

机构地区：[1]南昌大学数学系,江西南昌330031

出　　处：《南昌大学学报（工科版）》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)

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.

关 键 词：伴随切锥 Ben-Tal代数运算 广义梯度 

分 类 号：O224[理学—运筹学与控制论]