Attouch--Théra Duality, Generalized Cycles, and Gap Vectors

DOI10.1137/21M1392085MaRDI QIDQ5010044

Salihah Alwadani, Heinz H. Bauschke, Shawn Xianfu Wang

Publication date: 24 August 2021

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

Full work available at URL: https://arxiv.org/abs/2101.05857

zbMATH Keywords

dualityconvex functionproximal mappinggeneralized cycledisplacement mappingcircular right shift operatorAttouch-Thérageneralized gap vectorproximal cycle

Mathematics Subject Classification ID

Convex programming (90C25) Monotone operators and generalizations (47H05) Set-valued and variational analysis (49J53) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Duality theory (optimization) (49N15) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10) Linear relations (multivalued linear operators) (47A06)

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