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Convergence of implicit iterates with errors for mappings with unbounded domain in Banach spaces

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  • Hafiz Fukhar-Ud-Din
  • Abdul Rahim Khan

Abstract

We prove that an implicit iterative process with errors converges weakly and strongly to a common fixed point of a finite family of asymptotically quasi-nonexpansive mappings on unbounded sets in a uniformly convex Banach space. Our results generalize and improve upon, among others, the corresponding recent results of Sun (2003) in the following two different directions: (i) domain of the mappings is unbounded, (ii) the iterative sequence contains an error term.

Suggested Citation

  • Hafiz Fukhar-Ud-Din & Abdul Rahim Khan, 2005. "Convergence of implicit iterates with errors for mappings with unbounded domain in Banach spaces," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2005, pages 1-11, January.
    • Handle: RePEc:hin:jijmms:128231
    DOI: 10.1155/IJMMS.2005.1643
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