Self-dual Regularization of Monotone Operators via the Resolvent Average

DOI10.1137/100795942zbMath1231.47053OpenAlexW2005348626MaRDI QIDQ3093589

Shawn Xianfu Wang

Publication date: 18 October 2011

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

Full work available at URL: https://doi.org/10.1137/100795942

zbMATH Keywords

subdifferentialmaximal monotone mappingleast norm solutionTikhonov regularisationYosida regularisation

Mathematics Subject Classification ID

Convex programming (90C25) Monotone operators and generalizations (47H05) Set-valued and variational analysis (49J53) Fixed-point theorems (47H10) Set-valued operators (47H04) Convex functions and convex programs in convex geometry (52A41)

Related Items (5)

Self-Dual Smooth Approximations of Convex Functions via the Proximal Average ⋮ Most maximally monotone operators have a unique zero and a super-regular resolvent ⋮ A parameterized Douglas-Rachford algorithm ⋮ The NC-proximal average for multiple functions ⋮ The Resolvent Average of Monotone Operators: Dominant and Recessive Properties

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