文章基本信息

标题：Asymptotic behavior of almost-orbits of reversible semigroups of non-Lipschitzian mappings in Banach spaces
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作者：Jong Soo Jung ; Jong Yeoul Park ; Jong Seo Park 等
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.