Convergence of almost-orbits of a C-semigroup of linear continuous operators in Banach spaces for invariant means

Convergence of almost-orbits of a C-semigroup of linear continuous operators in Banach spaces for invariant means

The purpose of this paper is to study some new mean ergodic theorems for almost-orbits of C-semigroups on a Banach space by proving some new applications of lemmas and theorems of the section 5.5 of [W. Takahashi, Nonlinear Functional Analysis: Fixed Point Theory and its Applications, Yokohama Publishers, Yokohama, 2000]. The author extends and develops some recent and earlier results.