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Nonlinear ergodic theorems for nonexpansive mappings in Hilbert spaces

Nonlinear ergodic theorems for nonexpansive mappings in Hilbert spaces

Let C be a closed convex subset of a Hubert space H and T be a mapping of C into itself.T is said to be asymptotically nonexpansive if for each x, y^C, \\T % x-T x y\\^(X+a % )\\x-y\\ for i=l,2,-, where limĪ±^O.In particular if a t =0, i=l, 2, ā€¦