Approximation of fixed points of strongly pseudocontractive mappings in uniformly smooth Banach spaces

Let E be a real uniformly smooth Banach space, and K a nonempty closed convex subset of E. Assume that T1+T2: K→K is a continuous and strongly pseudocontractive mapping, where T1:K→K is Lipschitz and T2:K→K has the bounded range mapping. Then the Ishikawa iterative sequence converges strongly to t...

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Bibliographic Details
Main Author: Xue Zhiqun
Format: Article
Language:English
Published: Hindawi Limited 2006-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/IJMMS/2006/46561