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Computing the Fixed Points of Strictly Pseudocontractive Mappings by the Implicit and Explicit Iterations

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  • Yeong-Cheng Liou

Abstract

It is known that strictly pseudocontractive mappings have more powerful applications than nonexpansive mappings in solving inverse problems. In this paper, we devote to study computing the fixed points of strictly pseudocontractive mappings by the iterations. Two iterative methods (one implicit and another explicit) for finding the fixed point of strictly pseudocontractive mappings have been constructed in Hilbert spaces. As special cases, we can use these two methods to find the minimum norm fixed point of strictly pseudocontractive mappings.

Suggested Citation

  • Yeong-Cheng Liou, 2012. "Computing the Fixed Points of Strictly Pseudocontractive Mappings by the Implicit and Explicit Iterations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:315835
    DOI: 10.1155/2012/315835
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    References listed on IDEAS

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    1. Simeon Reich & Hong-Kun Xu, 2003. "An iterative approach to a constrained least squares problem," Abstract and Applied Analysis, Hindawi, vol. 2003, pages 1-10, January.
    2. Muhammad Aslam Noor, 2012. "Some Aspects of Extended General Variational Inequalities," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-16, March.
    3. Muhammad Aslam Noor, 2012. "Some Aspects of Extended General Variational Inequalities," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    4. Simeon Reich & Hong-Kun Xu, 2003. "An iterative approach to a constrained least squares problem," Abstract and Applied Analysis, John Wiley & Sons, vol. 2003(8), pages 503-512.
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    Cited by:

    1. Vasile Berinde, 2024. "A Projection-Type Implicit Algorithm for Finding a Common Solution for Fixed Point Problems and Variational Inequality Problems," Mathematics, MDPI, vol. 12(20), pages 1-17, October.

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