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Explicit Scheme for Fixed Point Problem for Nonexpansive Semigroup and Split Equilibrium Problem in Hilbert Space

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  • Pei Zhou
  • Gou-Jie Zhao

Abstract

We establish an iterative method for finding a common element of the set of fixed points of nonexpansive semigroup and the set of split equilibrium problems. Under suitable conditions, some strong convergence theorems are proved. Our works improve previous results for nonexpansive semigroup.

Suggested Citation

  • Pei Zhou & Gou-Jie Zhao, 2014. "Explicit Scheme for Fixed Point Problem for Nonexpansive Semigroup and Split Equilibrium Problem in Hilbert Space," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-12, August.
  • Handle: RePEc:hin:jnljam:858679
    DOI: 10.1155/2014/858679
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