Weak and Strong Convergence of an Iterative Algorithm for Lipschitz Pseudo-Contractive Maps in Hilbert Space

Abstract

Let H be a real Hilbert space and K a nonempty, closed convex subset of H.Let T : K ! K be Lipschitz pseudo-contractive map with a nonempty xed points set. We introduce a modi ed Ishikawa iterative algorithm for Lipschitz pseudo-contractive maps and prove that our new iterative algorithm converges strongly to a xed point of T in real Hilbert space.

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