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A Nonlinear Ergodic Theorem for a Reversible Semigroup of Nonexpansive Mappings in a Hilbert Space

A Nonlinear Ergodic Theorem for a Reversible Semigroup of Nonexpansive Mappings in a Hilbert Space

Let $C$ be a nonempty closed convex subset of a Hilbert space, $S$ a right reversible semitopological semigroup, $\mathcal {S} = \{ {T_t}:t \in S\}$ a continuous representation of $S$ as nonexpansive mappings on a closed convex subset $C$ into $C$, and $F(\mathcal {S})$ the set of common fixed points …