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Strong Convergence of Generalized Projection Algorithms for Nonlinear Operators

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  • Chakkrid Klin-eam
  • Suthep Suantai
  • Wataru Takahashi

Abstract

We establish strong convergence theorems for finding a common element of the zero point set of a maximal monotone operator and the fixed point set of two relatively nonexpansive mappings in a Banach space by using a new hybrid method. Moreover we apply our main results to obtain strong convergence for a maximal monotone operator and two nonexpansive mappings in a Hilbert space.

Suggested Citation

  • Chakkrid Klin-eam & Suthep Suantai & Wataru Takahashi, 2009. "Strong Convergence of Generalized Projection Algorithms for Nonlinear Operators," Abstract and Applied Analysis, Hindawi, vol. 2009, pages 1-18, November.
    • Handle: RePEc:hin:jnlaaa:649831
    DOI: 10.1155/2009/649831
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