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

Abstract

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.