Asymptotic behavior of almost-orbits of semigroups of Lipschitzian mappings in Banach spaces
Asymptotic behavior of almost-orbits of semigroups of Lipschitzian mappings in Banach spaces
Let C be a nonempty closed convex subset of a uniformly convex Banach space E, G a right reversible semitopological semigroup and S={S(t) : t^G} a continuous representation of G as Lipschitzian self-mappings on C. We consider the asymptotic behavior of an almost-orbit {u(t) : t<=G} of S={S(t) : ίeG}.We …