Generalized Solutions for the Sum of Two Maximally Monotone Operators

DOI10.1137/130924214zbMath1297.47055arXiv1306.1771OpenAlexW1974036004MaRDI QIDQ5494907

Heinz H. Bauschke, Walaa M. Moursi, Warren L. Hare

Publication date: 30 July 2014

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.1771

zbMATH Keywords

resolventgeneralized solutionmaximally monotone operatorAttouch-Théra dualityDouglas-Rachford splitting operatorfirmly nonexpansive mapping

Mathematics Subject Classification ID

Convex programming (90C25) Optimality conditions and duality in mathematical programming (90C46) Monotone operators and generalizations (47H05) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Duality theory (optimization) (49N15) Decomposition methods (49M27)

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