Volume 11, Number 1, April 2010, pp. 89-99
Simeon Reich and Aya Wallwater

Key words:
Banach limit, Banach space, duality mapping, fixed point, mean ergodic theorem, nonexpansive mapping, nonlinear semigroup
Mathematices Subject Classification: 46T25, 47H09, 47H10, 47H20, 47H25
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Abstract:
We use Banach limits and the concept of almost convergence to establish a dual mean ergodic theorem for nonexpansive nonlinear semigroups in uniformly smooth Banach spaces.
Almost Convergence and a dual ergodic theorem for nonlinear semigroups