凸函数复合运算的次微分

Subdifferential Calculus of CompositionMapping for Convex Function

讨论拓扑线性空间Ｙ上的真凸函数ｇ与映拓扑线性空间Ｘ到Ｙ内的线性算子Ａ复合ｇ．Ａ的次微分运算的可交换性质．作为可交换性质的推论，得出Ｍｏｒｅａｕ－Ｒｏｃｋ－ａｆｅｌｌａｒ定理．

This paper discusses an important property or subdifferential calculus(g.A)(x)=g(Ax).AWhere g is proper convex function at topological linear space Y,A is a linear operator fromtopological linear space X into y,g.A is a composite of g and A. As a conclusion, the theorem of Moreau-Rockafller is a corollary of the property.