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    Alternative iterative methods for nonexpansive mappings, rates of convergence and applications

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    OWP2009_19.pdf (250.7Kb)
    Date
    2009
    MFO Scientific Program
    OWLF 2009
    Series
    Oberwolfach Preprints;2009,19
    Author
    Colao, Vittorio
    Leuştean, Laurenţiu
    López, Genaro
    Martín Márquez, Victoria
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    OWP-2009-19
    Abstract
    Alternative iterative methods for a nonexpansive mapping in a Banach space are proposed and proved to be convergent to a common solution to a fixed point problem and a variational inequality. We give rates of asymptotic regularity for such iterations using proof-theoretic techniques. Some applications of the convergence results are presented.
    Mathematics Subject Classification (MSC)
    47 • 03
    DOI
    10.14760/OWP-2009-19
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