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Convergence Theorems for Common Fixed Points of a Finite Family of Relatively Nonexpansive Mappings in Banach Spaces

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  • Yuanheng Wang
  • Weifeng Xuan

Abstract

We establish some strong convergence theorems for a common fixed point of a finite family of relatively nonexpansive mappings by using a new hybrid iterative method in mathematical programming and the generalized projection method in a Banach space. Our results improve and extend the corresponding results by many others.

Suggested Citation

  • Yuanheng Wang & Weifeng Xuan, 2013. "Convergence Theorems for Common Fixed Points of a Finite Family of Relatively Nonexpansive Mappings in Banach Spaces," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-7, March.
  • Handle: RePEc:hin:jnlaaa:259470
    DOI: 10.1155/2013/259470
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