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Rafiq, Arif

On Mann iteration in Hilbert spaces. (English) Zbl 1136.47047

Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 66, No. 10, 2230-2236 (2007).
The author proves the strong convergence of certain Mann iterates of a hemicontractive map in a Hilbert space. Not all results, however, seem to be correct, as was pointed out by Y.Qing [ibid.68, No.2 (A), 460 (2008; Zbl 1136.47048), see the following review].
Reviewer: Jürgen Appell (Würzburg)

Cited in 2 Reviews
Cited in 20 Documents

MSC:

47J25 Iterative procedures involving nonlinear operators
47H10 Fixed-point theorems
47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc.

Keywords:

Hilbert space; Mann iteration; pseudocontractive maps

Citations:

Zbl 1136.47048
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\textit{A. Rafiq}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 66, No. 10, 2230--2236 (2007; Zbl 1136.47047)
Full Text: DOI

References:

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