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The Hybrid Projection Methods for Pseudocontractive, Nonexpansive Semigroup, and Monotone Mapping

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  • Phayap Katchang
  • Somyot Plubtieng

Abstract

We modify the three-step iterative schemes to prove the strong convergence theorems by using the hybrid projection methods for finding a common element of the set of solutions of fixed points for a pseudocontractive mapping and a nonexpansive semigroup mapping and the set of solutions of a variational inequality problem for a monotone mapping in a Hilbert space under some appropriate control conditions. Our theorems extend and unify most of the results that have been proved for this class of nonlinear mappings.

Suggested Citation

  • Phayap Katchang & Somyot Plubtieng, 2014. "The Hybrid Projection Methods for Pseudocontractive, Nonexpansive Semigroup, and Monotone Mapping," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-8, May.
    • Handle: RePEc:hin:jnlaaa:813701
    DOI: 10.1155/2014/813701
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