无穷维空间具连续点的凸映射的次微分

The subdifferential of convex mapping with continuity point in infinite dimensional spaces

研究局部凸空间到序Ｂａｎａｃｈ空间具连续点的凸映射在该点的次微分，证明了凸映射在连续点的次微分非空；给出了连续映射成为凸映射的一个等价形式．

he subdifferential of convex mapping with continuity point in infinite dimensional spaces is studied.It is proved that subdifferential of convex mapping at continuity point is nonempty, and an equivalent condition on continuous mapping to be convex mapping is obtained.