ALMOST STABILITY OF THE ISHIKAWA ITERATION METHOD WITH ERROR TERMS INVOLVING STRICTLY HEMICONTRACTIVE MAPPINGS IN SMOOTH BANACH SPACES

Jong Kyu Kim, Arif Rafiq, Ho Geun Hyun · Nonlinear functional analysis and applications · 2013

Let K be a nonempty closed bounded convex subset of an arbitrary smooth Banach space X and T : K -> K be a continuous strictly hemicontractive mapping. Under some conditions we obtain that the Ishikawa iteration method with error terms converges strongly to a unique xed point of T and is almost T-stable on K.

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