[HTML][HTML] Strong convergence of the Mann iteration for α-demicontractive mappings

L Măruşter, Ş Măruşter - Mathematical and computer modelling, 2011 - Elsevier
Mathematical and computer modelling, 2011Elsevier
The paper deals with strong convergence properties of the Mann iteration. A new class of
demicontractive mappings (called α-demicontractive) is introduced for which the strong
convergence of the computed sequence is assured. The paper presents also an overview of
relevant contributions of the last two decades, concerning strong convergence for Mann-type
iteration of demicontractive mappings.
The paper deals with strong convergence properties of the Mann iteration. A new class of demicontractive mappings (called α-demicontractive) is introduced for which the strong convergence of the computed sequence is assured. The paper presents also an overview of relevant contributions of the last two decades, concerning strong convergence for Mann-type iteration of demicontractive mappings.
Elsevier
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