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A New Composite General Iterative Scheme for Nonexpansive Semigroups in Banach Spaces

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  • Pongsakorn Sunthrayuth
  • Poom Kumam

Abstract

We introduce a new general composite iterative scheme for finding a common fixed point of nonexpansive semigroups in the framework of Banach spaces which admit a weakly continuous duality mapping. A strong convergence theorem of the purposed iterative approximation method is established under some certain control conditions. Our results improve and extend announced by many others.

Suggested Citation

  • Pongsakorn Sunthrayuth & Poom Kumam, 2011. "A New Composite General Iterative Scheme for Nonexpansive Semigroups in Banach Spaces," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2011, pages 1-18, May.
    • Handle: RePEc:hin:jijmms:560671
    DOI: 10.1155/2011/560671
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    Cited by:

    1. Bashir Ali & G. C. Ugwunnadi, 2012. "Convergence Theorem for a Family of Generalized Asymptotically Nonexpansive Semigroup in Banach Spaces," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2012, pages 1-16, July.

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