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Nonlinear ergodic theorems for an amenable semigroup of nonexpansive mappings in a Banach space
Let C be a nonempty closed convex subset of a Banach space, S a semigroup of nonexpansive mappings / of C into itself, and F(S) the set of common fixed points of mappings t.Then we deal with the existence of a nonexpansive retraction P of C onto F(S) such that …