Journal of Hebei University (Natural Science Edition) ›› 2004, Vol. 24 ›› Issue (1): 23-27.DOI: 10.3969/j.issn.1000-1565.2004.01.006

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Fixed-point Iteration for Asymptotically Pseudocontractive Mappings with Error Member

  

  • Online:2004-01-25 Published:2004-01-25

Abstract: Ishikawa-type and Mann-type iterative sequences of asymtotically pseudocontractive mappings with error mem ber were studied to converge to fixed points in Banach space.Ishikawa-type and Mann-type with errors scheme includes Ishikawa-type and Mann-type iterations as special cases. The results obtained in this paper represent an extension as well as refinement of previous known results.

Key words: fixed points, asymptotically pseudocontractive mappings, asymptotically nonexpansive mappings, Mann-type and Ishkawa-type iterations, smooth Banach space

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