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Strong Convergence Theorems of Modified Ishikawa Iterative Method for an Infinite Family of Strict Pseudocontractions in Banach Spaces

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  • Phayap Katchang
  • Wiyada Kumam
  • Usa Humphries
  • Poom Kumam

Abstract

We introduce a new modified Ishikawa iterative process and a new W-mapping for computing fixed points of an infinite family of strict pseudocontractions mapping in the framework of q-uniformly smooth Banach spaces. Then, we establish the strong convergence theorem of the proposed iterative scheme under some mild conditions. The results obtained in this paper extend and improve the recent results of Cai and Hu 2010, Dong et al. 2010, Katchang and Kumam 2011 and many others in the literature.

Suggested Citation

  • Phayap Katchang & Wiyada Kumam & Usa Humphries & Poom Kumam, 2011. "Strong Convergence Theorems of Modified Ishikawa Iterative Method for an Infinite Family of Strict Pseudocontractions in Banach Spaces," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2011, pages 1-18, May.
    • Handle: RePEc:hin:jijmms:549364
    DOI: 10.1155/2011/549364
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