摘要
本文指出并证明了满足Opial's条件或具有正规结构的Banach空间中从弱紧凸集到弱紧凸子集族的非扩张集值映象具有不动点,推广了文[1]～[3]、[6]、[7]。
In this paper, We show that the multivalued nonexpansive mapping from a weakly compact convex set into the families of weakly compact convex subsets has a fixed point in the Banach Space possessing Opial's condition or the normal structure, which generalize the results of[1]～[3]、[6]、[7].
关键词
弱紧集
非扩张
集值映象
不动点
weakly compact set nonexpansive mapping fixed point
