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Parallel and Cyclic Algorithms for Quasi-Nonexpansives in Hilbert Space

Author

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  • Bin-Chao Deng
  • Tong Chen
  • Baogui Xin

Abstract

Let be N quasi-nonexpansive mappings defined on a closed convex subset C of a real Hilbert space H . Consider the problem of finding a common fixed point of these mappings and introduce the parallel and cyclic algorithms for solving this problem. We will prove the strong convergence of these algorithms.

Suggested Citation

  • Bin-Chao Deng & Tong Chen & Baogui Xin, 2012. "Parallel and Cyclic Algorithms for Quasi-Nonexpansives in Hilbert Space," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-27, September.
  • Handle: RePEc:hin:jnlaaa:218341
    DOI: 10.1155/2012/218341
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