Almost convergence and nonlinear ergodic theorems
作者： Simeon Reich
DOI: 10.1016/0021-9045(78)90012-6
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摘要: The first ergodic theorems for nonlinear nonexpansive mappings and semigroups in Hilbert space were established by Baillon [I, 2, 31 BrCzis [4]. Browder [6] have recently replaced the Cesaro method discrete case more general summability methods. A similar extension continuous has been obtained [lo]. purpose of this note is to show how Lorentz’s concept almost convergence [9] can be used improve these results simplify their proofs. Following Lorentz, we say that a regular matrix {a,,,<} strongly
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