Solving monotone inclusions via compositions of nonexpansive averaged operators

A unified fixed point theoretic framework is proposed to investigate the asymptotic behavior of algorithms for finding solutions to monotone inclusion problems. The basic iterative scheme under consideration involves nonstationary compositions of perturbed averaged nonexpansive operators. The analys...

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Bibliographic Details

Published in:	Optimization Vol. 53; no. 5-6; pp. 475 - 504
Main Author:	Combettes, Patrick L.
Format:	Journal Article
Language:	English
Published:	Philadelphia Taylor & Francis Group 01.10.2004 Taylor & Francis LLC
Subjects:	Algorithms Averaged operator Douglas-Rachford method Forward-backward method Mathematical models Mathematics Subject Classifications 2000: 47B33 Monotone inclusion Monotone operator Optimization Proximal point algorithm Studies
ISSN:	0233-1934, 1029-4945
Online Access:	Get full text
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