Convergence of the Ishikawa Iterative Sequence to Fixed Points of Lipschitz Pseudocontrative Maps in Hilbert Spaces

B. G. Akuchu · 2015

We study the weak and strong convergence of the Ishikawa iterative sequence to a xed point of a Lipschitz pseudocontrative mapping , T; in a Hilbert space. We do not require any compactness type assumptions either on T or its domain, for the strong convergence results. Neither do we require that the interior of the xed points set of T be nonempty, which is a condition used in [25]. Furthermore, we do not need to compute for closed convex subsets, Cn; of the Hilbert space.

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