WEAK CONVERGENCE THEOREMS FOR ALMOST-ORBITS OF AN ASYMPTOTICALLY NONEXPANSIVE SEMIGROUP IN BANACH SPACES

In this paper, we deal with the asymptotic behavior for the almost-orbits {u(t)} of an asymptotically nonexpansive semigroup S = {S(t) : t G} for a right reversible semitopological semigroup G, defined on a suitable subset C of Banach spaces with the Opial's condition, locally uniform Opial condition, or uniform Opial condition.