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A Strong Convergence Theorem for a Common Fixed Point of Two Sequences of Strictly Pseudocontractive Mappings in Hilbert Spaces and Applications

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  • Kasamsuk Ungchittrakool

Abstract

We prove a strong convergence theorem for a common fixed point of two sequences of strictly pseudocontractive mappings in Hilbert spaces. We also provide some applications of the main theorem to find a common element of the set of fixed points of a strict pseudocontraction and the set of solutions of an equilibrium problem in Hilbert spaces. The results extend and improve the recent ones announced by Marino and Xu (2007) and others.

Suggested Citation

  • Kasamsuk Ungchittrakool, 2010. "A Strong Convergence Theorem for a Common Fixed Point of Two Sequences of Strictly Pseudocontractive Mappings in Hilbert Spaces and Applications," Abstract and Applied Analysis, Hindawi, vol. 2010, pages 1-17, December.
    • Handle: RePEc:hin:jnlaaa:876819
    DOI: 10.1155/2010/876819
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    Cited by:

    1. Kasamsuk Ungchittrakool & Duangkamon Kumtaeng, 2013. "An Iterative Shrinking Metric f‐Projection Method for Finding a Common Fixed Point of a Closed and Quasi‐Strictf‐Pseudocontraction and a Countable Family of Firmly Nonexpansive Mappings and Applications in Hilbert Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    2. Kasamsuk Ungchittrakool, 2013. "Existence and Convergence Theorems by an Iterative Shrinking Projection Method of a Strict Pseudocontraction in Hilbert Spaces," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).

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