一致凸Banach空间中渐近非扩张映象的遍历收敛性(为庆贺游兆永教授60寿辰而作)

Ergodic Convergence for Asymptotically Nonexpansivc Mappings in Uniformly Convex Banach Space

本文证明了若f:B→B是渐近非扩张映象,B是一致凸Banach空间中的有界闭凸子集,则序列强收敛到f的不动点。

In this paper, It is shown if f: B → B is a asymptotically nonexpansive mapping and B is a boundedclose convex subset in uniformly convex Banach space then sequence {} convergcns strong-ly to a fixed point of f .