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On Error Estimates of an Implicit Iteration Scheme

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The purpose of this note is to study the estimation of errors of the implicit Mann iterative process with random errors.

Abstract

The purpose of this note is to study the estimation of errors of the implicit Mann iterative process with random errors.

참고문헌 (8)

  1. Lj.B. Ciric, "Implicit Mann fixed point iterations for pseudo-contractive mappings", Appl. Math. Lett, 22, pp.581~584 (2009)
  2. S. Ishikawa, "Fixed point by a new iteration method", Proc. Amer. Math. Soc, 4(1), pp.147~150 (1974)
  3. L. S. Liu, "Ishikawa and Mann iterative process with errors for nonlinear strongly accretive mappings in Banach spaces", J. Math. Anal. Appl, 1945, pp.114~125 (1995)
  4. W. R. Mann, "Mean value methods in iteration", Proc. Amer. Math. Soc, 4, pp.506~610 (1953)
  5. A. Rafiq, "On Mann iteration in Hilbert spaces", Nonlinear Anal, 66, pp.2230~2236 (2007)
  6. A. Rafiq, "Implicit fixed point iterations for pseudocontractive mappings", Kodai Math. J, 32, pp.146~158 (2009)
  7. Y. Xu, "Ishikawa and Mann iterative process with errors for nonlinear strongly accretive operator equations", J. Math. Anal. Appl, 224, pp.98~101 (1998)
  8. Y. Xu, "On estimation and control of errors of the Mann iteration process", J. Math. Anal. Appl, 286(2), pp.804~806 (2003)

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