Title: Iterative approaches to fixed points of uniformly Lipschitzian mappings in Banach spaces
Abstract: Let K be a nonempty closed convex subset of a real p-uniformly convex Banach space E and T be a uniformly Lipschitzian self-mapping of K with F(T):={x∈K:Tx=x}≠.Let {xn} be a sequence generated from x0∈ K by the Ishikawa iteration process with errors.It is proved that under the uniformly pseudocontractive assumption on T,‖xn-Txn‖→0 as n→∞. Suppose additionally that T is completely continuous.Then it is also proved that {xn} converges strongly to a point of F(T).
Publication Year: 2009
Publication Date: 2009-01-01
Language: en
Type: article
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