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Convergence Theorems for Fixed Points of Multivalued Mappings in Hilbert Spaces

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  • N. Djitte
  • M. Sene

Abstract

Let be a real Hilbert space and a nonempty closed convex subset of . Suppose is a multivalued Lipschitz pseudocontractive mapping such that . An Ishikawa-type iterative algorithm is constructed and it is shown that, for the corresponding sequence , under appropriate conditions on the iteration parameters, holds. Finally, convergence theorems are proved under approximate additional conditions. Our theorems are significant improvement on important recent results of Panyanak (2007) and Sastry and Babu (2005).

Suggested Citation

  • N. Djitte & M. Sene, 2014. "Convergence Theorems for Fixed Points of Multivalued Mappings in Hilbert Spaces," International Journal of Analysis, Hindawi, vol. 2014, pages 1-7, September.
    • Handle: RePEc:hin:ijanal:269786
    DOI: 10.1155/2014/269786
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    References listed on IDEAS

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    1. C. E. Chidume & C. O. Chidume & N. Djitté & M. S. Minjibir, 2013. "Convergence Theorems for Fixed Points of Multivalued Strictly Pseudocontractive Mappings in Hilbert Spaces," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-10, May.
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