抽象约束的参数向量优化问题中值映射的余切上图导数  

Contingent epiderivative of the value map in parametric vector optimization problem of abstract constraint

作　　者：万莉娟[1] 

机构地区：[1]齐齐哈尔大学理学院,黑龙江齐齐哈尔161006

出　　处：《高师理科学刊》2006年第1期7-10,共4页Journal of Science of Teachers＇College and University

摘　　要：对于参数向量优化问题m ink{f(w,x)|x∈G(w)},其中f:W×X→Y是从赋范空间W和X的积到另一个赋范空间Y的Hadam ard可微的单值映射,G:W→X是一个集值映射,K Y是一个尖闭凸锥.借助目标函数的导数和约束映射的余切导数,给出了值映射的余切上图导数的一个表示.Consider the parametrized minimization problem mink{f（ω,x）｜x∈G（ω）},Where f：W×X→Y a Hadamard -differentiable single -valued map from the product of two normed spaces W and X to another normed space Y, G： W→,X is a feasible set -valued map, and K Y is a convex closed pointed cone. A representation of contingent epiderivative of the value map is given in terms of the derivative of the objective function and the contingent derivative of the constraint map.

关 键 词：参数向量优化 余切上图导数 伪李普希兹性质 

分 类 号：O152[理学—数学]