Author:
Hussain Nawab,Rafiq Arif,Ciric Ljubomir B,Al-Mezel Saleh
Abstract
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 Mann iteration method with error term converges strongly to a unique fixed point of T and is almost T-stable on K. As an application of our results, we establish strong convergence of a multi-step iteration process.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis
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