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Asymptotic behaviour for an almost-orbit of nonexpansive semigroups in Banach spaces
2000
Bulletin of the Australian Mathematical Society
In this paper, by using the technique of product nets, we are able to prove a weak convergence theorem for an almost-orbit of right reversible semigroups of nonexpansine mappings in a general Banach space X with Opial's condition. This includes many well known results as special cases. Let C be a weakly compact subset of a Banach space X with Opial's condition. Let G be a right reversible semitopological semigroup, S -{T(t) : t £ G} a nonexpansive semigroup on C, and «(•) an almost-orbit of <S.
doi:10.1017/s0004972700022358
fatcat:v2pcsxgo3jbbriwwnatxbweo4a