Banach空间中两个非扩张非自映象对公共不动点的逼近

Approximating Common Fixed Point of Two Non-self Nonexpansive Mappings in Banach Spaces

设E是一致凸的Banach空间,C是E的非空有界闭凸子集而且是E的非扩张收缩核.设S,T:C→E是两个非扩张非自映象.本文证明了,在一定条件下,由(1.1)式定义的序列{xn}分别弱和强收敛于S,T的公共不动点.本文结果也推广和改进了最近一些人的最新结果.

Let E be a real uniformly convex Banach space and C a nonempty closed convex subset of E which is also a nonexpansive retract of E. Let S,T：C →. E be two nonexpansive mappings. It is shown that under some suitable conditions, the sequence {xn} defined by （1.1） converges weakly and strongly to some common fixed point of S,T, respectively. The results presented in this paper also extend and improve some recent results.