摘要
本文在k一致圆形Banach空间中证明了连续渐近非扩张型映象不动点的存在性。这一结果推广了Gocbcl-Kirk,Kirk,俞鑫泰—戴兴德等人的结果。本文还在K-致圆形且满足Opial条件的Banach空间中证明了渐近非扩张(型)映象Picard逐次迭代序列的弱收敛性。
An existence theorem of fixed points for mappings of asymptotically nonexpansive type is proved in any k-uniformly rotund Banach space, which generalizes results of Goebel-kirk[2], Kirk[3], and Yu Xintai-Dc Xingde[6]. Weak convergence of the Picard successive sequences of an asymptotically nonexpansive (type) mapping to a fixed point is also proved in any k-uniformly rotund Banach spaces satisfying the Opial's condition.
出处
《工程数学学报》
CSCD
1992年第4期1-8,共8页
Chinese Journal of Engineering Mathematics
