Asymptotic Behavior of Almost - Orbits of Reversible Semigroups of Non - Lipschitzian Mappings in Banach Spaces
نویسنده
چکیده
Let C be a nonempty closed convex subset of a uniformly convex Banach space E with a Fr6chet differentiable norm, G a right reversible semitopological semigroup, and S {S(t) :t E 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 E G} of S {S(t) :t 6 G} on C is established. Furthermore, it is shown that ifP is the metric projection ofE onto set F(S) of all common fixed points ofS {S(t) t 6 G}, then the strong limit ofthe net {Pu(t) t 6 G} exists.
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