Strong Convergence Theorems by Shrinking Projection Methods for Class T Mappings
نویسندگان
چکیده
LetH be a real Hilbert space with inner product 〈·, ·〉 and norm ‖ · ‖, and let C be a nonempty closed convex subset of H. Recall that a mapping T : H → H is said to be nonexpansive if ‖Tx−Ty‖ ≤ ‖x−y‖ for all x, y ∈ H. The set of fixed points of T is Fix T : {x ∈ H : Tx x}. T : H → H is said to be quasi-nonexpansive if Fix T is nonempty and ‖Tx − p‖ ≤ ‖x − p‖ for all x ∈ H and p ∈ Fix T . Given x, y ∈ H, let
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