Journal
OPTIMIZATION
Volume 53, Issue 5-6, Pages 475-504Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/02331930412331327157
Keywords
averaged operator; Douglas-Rach ford method; forward-backward method; monotone inclusion; monotone operator; proximal point algorithm
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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 analysis covers proximal methods for common zero problems as well as for various splitting methods for finding a zero of the sum of monotone operators.
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