非完备赋范空间上一族闭凸过程的共鸣定理

UNIFORM BOUNDEDNESS THEOREM OF CLOSED CONVEX PROCESS ON NON-COMPLETE NORMED SPACE

在［１］［２］中引进了闭凸过程的集值映射，并且在Ｂａｎａｃｈ空间中给出了著名的定理－共鸣定理。本文将空间的完备性去掉，在第二纲的赋范线性空间中给出相应的共鸣定理。

In[1][2],set-valued map of closed convex process was introduced,asnd the famous theorem-uniform boundedness theorem was given in Banach space.However,in this paper,the completeness is called off,and the corresponding uniform boundedness theorem is given in the second Bair category normed linear space.