Strong convergence theorems for a common fixed point of a finite family of pseudocontractive mappings

O. A. Daman, H. Zegeye

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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.

Original languageEnglish
Article number405315
JournalInternational Journal of Mathematics and Mathematical Sciences
Publication statusPublished - Oct 29 2012


All Science Journal Classification (ASJC) codes

  • Mathematics (miscellaneous)

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