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Strong Convergence of an Iterative Algorithm for Hierarchical Problems

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  • Poom Kumam
  • Thanyarat Jitpeera

Abstract

We introduce the triple hierarchical problem over the solution set of the variational inequality problem and the fixed point set of a nonexpansive mapping. The strong convergence of the algorithm is proved under some mild conditions. Our results extend those of Yao et al., Iiduka, Ceng et al., and other authors.

Suggested Citation

  • Poom Kumam & Thanyarat Jitpeera, 2014. "Strong Convergence of an Iterative Algorithm for Hierarchical Problems," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-9, July.
    • Handle: RePEc:hin:jnlaaa:678147
    DOI: 10.1155/2014/678147
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    Cited by:

    1. Thanyarat Jitpeera & Anantachai Padcharoen & Wiyada Kumam, 2022. "On New Generalized Viscosity Implicit Double Midpoint Rule for Hierarchical Problem," Mathematics, MDPI, vol. 10(24), pages 1-16, December.

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