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Implicit and Explicit Iterations with Meir-Keeler-Type Contraction for a Finite Family of Nonexpansive Semigroups in Banach Spaces

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  • Jiancai Huang
  • Shenghua Wang
  • Yeol Je Cho

Abstract

We introduce an implicit and explicit iterative schemes for a finite family of nonexpansive semigroups with the Meir-Keeler-type contraction in a Banach space. Then we prove the strong convergence for the implicit and explicit iterative schemes. Our results extend and improve some recent ones in literatures.

Suggested Citation

  • Jiancai Huang & Shenghua Wang & Yeol Je Cho, 2012. "Implicit and Explicit Iterations with Meir-Keeler-Type Contraction for a Finite Family of Nonexpansive Semigroups in Banach Spaces," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-14, April.
    • Handle: RePEc:hin:jnljam:720192
    DOI: 10.1155/2012/720192
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