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


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.

Copyright © 2023 Author(s) retain the copyright of this article.
This article is published under the terms of the Creative Commons Attribution License 4.0