Banach空间中闭凸集序列的收敛

对Ｂａｎａｃｈ空间中闭凸集序列收敛性的讨论不仅是研究集值随机过程的基础，而且也是研究最优化和控制论的基础，由于闭凸集序列的收敛形式很多，因而研究各种收敛之间的关系也就有着十分重要的意义，一些文献不同程度地给出了一些收敛之间的关系，但都不系统，也有个别文献比较系统地研究了各种收敛之间的关系，但是在有限维情形下讨论的．此文则是在一般Ｂａｎａｃｈ空间中，比较系统地研究和总结了各种收敛之间的关系，得出了比较完整的结果。

ON THE COVERGENCE OF SEQUENCES OF CLOSED CONVEX SETS IN BANACH SPACES

The discussion about the convergence of sequences of closed convex sets in Banachspaces is very important for set- valued random processes,optimization,and control theory. On the relations between various types of convergence for closed convex sets.In the litera-ture some results have been obtained which are not systematical or only in finite dimensionspace,In the paper,we obtain all relations between various types of convergence for closedConvex sets.