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Zbl 1136.47047
Rafiq, Arif
On Mann iteration in Hilbert spaces. (English)
[J] Nonlinear Anal., Theory Methods Appl. 66, No. 10, A, 2230-2236 (2007). ISSN 0362-546X

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 {\it Y.\,Qing} [ibid.\ 68, No.\,2 (A), 460 (2008; Zbl 1136.47048), see the following review].
[Jürgen Appell (Würzburg)]

MSC 2000:: *47J25 Methods for solving nonlinear operator equations (general)
47H10 Fixed point theorems for nonlinear operators on topol.linear spaces
47H09 Mappings defined by "shrinking" properties

Keywords: Hilbert space; Mann iteration; pseudocontractive maps

Citations: Zbl 1136.47048

Cited in: Zbl 1226.47083 Zbl 1136.47048

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