Noor Iterative Processes for Multivalued Mappings in Banach Spaces

نویسندگان

  • D. P. Shukla
  • Vivek Tiwari
  • Ruchira Singh
چکیده

Let K be a nonempty compact convex subset of a uniformly convex Banach space, and   K K T   : a multivalued nonexpansive mapping. We prove that the sequences of Noor iterate converge to a fixed point of T. This generalizes former results proved by Banach convergence of Noor iterates for a multi-valued mapping with a fixed point. We also introduce both of the iterative processes in a new sense, and prove a convergence theorem of Noor iterates for a mapping defined on a noncompact domain.

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تاریخ انتشار 2014