Title of article
The asymptotic behavior of the composition of two resolvents Original Research Article
Author/Authors
Heinz H. Bauschke، نويسنده , , Patrick L. Combettes، نويسنده , , Simeon Reich، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2005
Pages
19
From page
283
To page
301
Abstract
The asymptotic behavior of the composition of two resolvents in a Hilbert space is investigated. Connections are made between the solutions of associated monotone inclusion problems and their dual versions. The applications provided include a study of an alternating minimization procedure and a new proof of von Neumannʹs classical result on the method of alternating projections.
Keywords
Duality , Firmly nonexpansive operator , Gradient projection method , monotone operator , Proximal iteration , resolvent , Hilbert space , Monotone inclusion
Journal title
Nonlinear Analysis Theory, Methods & Applications
Serial Year
2005
Journal title
Nonlinear Analysis Theory, Methods & Applications
Record number
858781
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