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Three-Step Fixed Point Iteration for Generalized Multivalued Mapping in Banach Spaces

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  • Zhanfei Zuo

Abstract

The convergence of three-step fixed point iterative processes for generalized multivalued nonexpansive mapping was considered in this paper. Under some different conditions, the sequences of three-step fixed point iterates strongly or weakly converge to a fixed point of the generalized multivalued nonexpansive mapping. Our results extend and improve some recent results.

Suggested Citation

  • Zhanfei Zuo, 2012. "Three-Step Fixed Point Iteration for Generalized Multivalued Mapping in Banach Spaces," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-11, February.
    • Handle: RePEc:hin:jnljam:235120
    DOI: 10.1155/2012/235120
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