Common fixed points of two multivalued nonexpansive mappings by one-step iterative scheme

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Abstract

In this paper, we introduce a new one-step iterative process to approximate common fixed points of two multivalued nonexpansive mappings in a real uniformly convex Banach space. We establish weak and strong convergence theorems for the proposed process under some basic boundary conditions. © 2010 Elsevier Ltd. All rights reserved.
Original languageEnglish
Pages (from-to)97-102
Number of pages6
JournalApplied Mathematics Letters
Volume24
Issue number2
DOIs
StatePublished - Feb 1 2011

Keywords

  • Common fixed point
  • Condition (A′)
  • Nonexpansive mapping
  • One-step iterative scheme
  • Weak and strong convergence

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