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New Iterative Algorithm for Two Infinite Families of Multivalued Quasi-Nonexpansive Mappings in Uniformly Convex Banach Spaces

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  • Fang Zhang
  • Huan Zhang
  • Yulong Zhang

Abstract

We introduce a new iterative scheme for finding a common fixed point of two countable families of multivalued quasi-nonexpansive mappings and prove a weak convergence theorem under the suitable control conditions in a uniformly convex Banach space. We also give a new proof method to the iteration in the paper of Abbas et al. (2011).

Suggested Citation

  • Fang Zhang & Huan Zhang & Yulong Zhang, 2013. "New Iterative Algorithm for Two Infinite Families of Multivalued Quasi-Nonexpansive Mappings in Uniformly Convex Banach Spaces," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-7, May.
  • Handle: RePEc:hin:jnljam:649537
    DOI: 10.1155/2013/649537
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