Strong Convergence Theorems for a Common Fixed Point of a Finite Family of Pseudocontractive Mappings

O. A. Daman and H. Zegeye

International Journal of Mathematics and Mathematical Sciences, 2012, vol. 2012, 1-17

Abstract:

It is our purpose, in this paper, to prove strong convergence of Halpern-Ishikawa iteration method to a common fixed point of finite family of Lipschitz pseudocontractive mappings. There is no compactness assumption imposed either on C or on T . The results obtained in this paper improve most of the results that have been proved for this class of nonlinear mappings.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:405315

DOI: 10.1155/2012/405315

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