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Strong Convergence Theorems for a Countable Family of Lipschitzian Mappings

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  • Weerayuth Nilsrakoo
  • Satit Saejung

Abstract

We modify the iterative method introduced by Kim and Xu (2006) for a countable family of Lipschitzian mappings by the hybrid method of Takahashi et al. (2008). Our results include recent ones concerning asymptotically nonexpansive mappings due to Plubtieng and Ungchittrakool (2007) and Zegeye and Shahzad (2008, 2010) as special cases.

Suggested Citation

  • Weerayuth Nilsrakoo & Satit Saejung, 2010. "Strong Convergence Theorems for a Countable Family of Lipschitzian Mappings," Abstract and Applied Analysis, Hindawi, vol. 2010, pages 1-17, December.
    • Handle: RePEc:hin:jnlaaa:739561
    DOI: 10.1155/2010/739561
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