Abstract:

This article introduces the concept of commutative semigroups of almost asymptotically nonexpansive-type mappings in a Banach space X which has the Opial property and whose norm is UKK, and establishes the weak
convergence theorems for almost-orbits of this class of commutative semigroups. The author improves, extends and develops some recent and earlier results.

Key words: Semitopological semigroup, almost asymptotically nonexpansive type mapping, almost orbit, asymptotic