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

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OWP2009_19.pdf (250.72 KB)

Date

2009

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Advisor

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2009-19

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Oberwolfach Preprints (OWP)

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Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach

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https://doi.org/10.14760/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.

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Keywords

Nonexpansive mapping, iterative algorithm, fixed point, viscosity approximation, uniformly smooth Banach space, rates of asymptotic regularity, proof mining, variational inequality problem, accretive operator

Keywords GND

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Publication Type

Report

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publishedVersion

URI

https://doi.org/10.34657/1945
 https://oa.tib.eu/renate/handle/123456789/2536

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Mathematik
Oberwolfach Preprints (OWP)

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