Solving Composite Monotone Inclusions in Reflexive Banach Spaces by Constructing Best Bregman Approximations from Their Kuhn-Tucker Set

zbMath1348.49013arXiv1505.00362MaRDI QIDQ3186416

Quang Van Nguyen, Patrick L. Combettes

Publication date: 9 August 2016

Full work available at URL: https://arxiv.org/abs/1505.00362

zbMATH Keywords

dualityreflexive Banach spacesoperator splittingbest approximationprimal-dual algorithmBregman distanceLegendre functioncomposite monotone inclusions

Mathematics Subject Classification ID

Numerical methods involving duality (49M29) Variational inequalities (49J40) Monotone operators and generalizations (47H05) Set-valued and variational analysis (49J53) Iterative procedures involving nonlinear operators (47J25) Set-valued operators (47H04) Numerical methods for variational inequalities and related problems (65K15) Variational and other types of inclusions (47J22)

Related Items (7)

Monotone operator theory in convex optimization ⋮ Regularizing with Bregman--Moreau Envelopes ⋮ Warped proximal iterations for monotone inclusions ⋮ Unnamed Item ⋮ Proximal primal-dual best approximation algorithm with memory ⋮ Bregman forward-backward operator splitting ⋮ Convergence results of forward-backward algorithms for sum of monotone operators in Banach spaces

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