Strong Convergence of Modified Mann Iterations

Rong-Hua Li · Journal of Civil Aviation University of China · 2009

Let H be a Hilbert space,C a nonempty closed convex subset of H,and T∶C→C a nonexpansive mapping.Under the assumption that θ ∈C,a modified Mann iteration process based on the regularization method,which has nothing to do with projection operators,is proposed for approximating fixed points of T.The strong convergence is obtained.

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