摘要
本文首先给出了集值渐近非扩张(型)映射的概念,在Hilbert空间中证明了连续集值渐近非扩张型映射的遍历收敛性定理。
This paper defines a new kind of multi-valued mappings ——multi-valued asymptotically nonexpansive(type)mappings.It proves the existence and approximation theorems of fixed point for continuous multi-valued asymptotically nonexpansive(type)map- pings in Hilbert Space.
出处
《华南理工大学学报(自然科学版)》
EI
CAS
CSCD
1993年第2期11-15,共5页
Journal of South China University of Technology(Natural Science Edition)
关键词
不动点
集值映象
遍历收敛性
fixed-points
contraction operators
metric spaces/multi-valued nonexpansive mappings
multi-valued asymptotically nonexpansive type mappings