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Strong Convergence Algorithms for Hierarchical Fixed Points Problems and Variational Inequalities

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  • Gendai Gu
  • Shenghua Wang
  • Yeol Je Cho

Abstract

We introduce a new iterative scheme that converges strongly to a common fixed point of a countable family of nonexpansive mappings in a Hilbert space such that the common fixed point is a solution of a hierarchical fixed point problem. Our results extend the ones of Moudafi, Xu, Cianciaruso et al., and Yao et al.

Suggested Citation

  • Gendai Gu & Shenghua Wang & Yeol Je Cho, 2011. "Strong Convergence Algorithms for Hierarchical Fixed Points Problems and Variational Inequalities," Journal of Applied Mathematics, Hindawi, vol. 2011, pages 1-17, September.
    • Handle: RePEc:hin:jnljam:164978
    DOI: 10.1155/2011/164978
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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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