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

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Date
2009MFO Scientific Program
OWLF 2009Series
Oberwolfach Preprints;2009,19Author
Colao, Vittorio
Leuştean, Laurenţiu
López, Genaro
Martín Márquez, Victoria
Metadata
Show full item recordOWP-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.