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On Strong Convergence of Halpern’s Method Using Averaged Type Mappings

Author

Listed:
  • F. Cianciaruso
  • G. Marino
  • A. Rugiano
  • B. Scardamaglia

Abstract

Under suitable hypotheses on control coefficients, we study Halpern’s method to approximate strongly common fixed points of a nonexpansive mapping and of a nonspreading mapping or a fixed point of one of them. A crucial tool in our results is the regularization with the averaged type mappings.

Suggested Citation

  • F. Cianciaruso & G. Marino & A. Rugiano & B. Scardamaglia, 2014. "On Strong Convergence of Halpern’s Method Using Averaged Type Mappings," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnljam:v:2014:y:2014:i:1:n:473243
    DOI: 10.1155/2014/473243
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    References listed on IDEAS

    as
    1. Kanokwan Wongchan & Satit Saejung, 2011. "On the Strong Convergence of Viscosity Approximation Process for Quasinonexpansive Mappings in Hilbert Spaces," Abstract and Applied Analysis, Hindawi, vol. 2011, pages 1-9, June.
    2. Kanokwan Wongchan & Satit Saejung, 2011. "On the Strong Convergence of Viscosity Approximation Process for Quasinonexpansive Mappings in Hilbert Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2011(1).
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