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

Onkabetse A. Daman, Habtu Zegeye · International Journal of Mathematics and Mathematical Sciences · 2012

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 onCor onT. The results obtained in this paper improve most of the results that have been proved for this class of nonlinear mappings.

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