期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：1997
卷号：20
DOI：10.1155/S0161171297000094
出版社：Hindawi Publishing Corporation
摘要：Let C be a nonempty closed convex subset of a uniformly convex Banach space E with a
Fréchet differentiable norm, G a right reversible semitopological semigroup, and 𝒮={S(t):t∈G} a
continuous representation of G as mappings of asymptotically nonexpansive type of C into itself. The
weak convergence of an almost-orbit {u(t):t∈G} of 𝒮={S(t):t∈G} on C is established.
Furthermore, it is shown that if P is the metric projection of E onto set F(S) of all common fixed points
of 𝒮={S(t):t∈G}, then the strong limit of the net {Pu(t):t∈G} exists.
