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

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

Let C be a nonempty closed convex subset of a Hubert space, S a right reversible semitopological semigroup, S" = {Tt:t € S} a continuous representation of S as Lipschitzian mappings on a closed convex subset C into C, and F(5") the set of common fixed points of mappings Tt, …