Composition duality and maximal monotonicity
From MaRDI portal
Publication:1295953
DOI10.1007/s101070050043zbMath0949.90095OpenAlexW2017397119MaRDI QIDQ1295953
Publication date: 23 September 1999
Published in: Mathematical Programming. Series A. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s101070050043
maximal monotone operatorconjugate dualitysplitting algorithmgeneralized equationAttouch-Théra dualityAttouch-Théra duality principleMosco duality
Related Items (40)
The relevance of convex analysis for the study of monotonicity ⋮ Computing the resolvent of composite operators ⋮ A SPLITTING METHOD FOR COMPOSITE MAPPINGS ⋮ On the Range of the Douglas–Rachford Operator ⋮ Generalized Eckstein-Bertsekas proximal point algorithm involving \((H,\eta )\)-monotonicity framework ⋮ Generalized over-relaxed proximal algorithm based ona-maximal monotonicity framework and applications to inclusion problems ⋮ A note on elliptic type boundary value problems with maximal monotone relations ⋮ A primal-dual splitting method for convex optimization involving Lipschitzian, proximable and linear composite terms ⋮ Multivariate Monotone Inclusions in Saddle Form ⋮ New approach to the \(\eta \)-proximal point algorithm and nonlinear variational inclusion problems ⋮ General class of implicit variational inclusions and graph convergence on \(A\)-maximal relaxed monotonicity ⋮ Warped proximal iterations for monotone inclusions ⋮ Preserving maximal monotonicity with applications in sum and composition rules ⋮ General over-relaxed proximal point algorithm involving \(A\)-maximal relaxed monotone mappings with applications ⋮ Augmented Lagrangian theory, duality and decomposition methods for variational inequality problems ⋮ A Construction of the Level 3 Modules for the Affine Lie Algebra 𝐴₂⁽²⁾ and a New Combinatorial Identity of the Rogers-Ramanujan Type ⋮ Attouch-Théra duality revisited: Paramonotonicity and operator splitting ⋮ Primal-dual splitting algorithm for solving inclusions with mixtures of composite, Lipschitzian, and parallel-sum type monotone operators ⋮ A characterization of boundary conditions yielding maximal monotone operators ⋮ Natural closures, natural compositions and natural sums of monotone operators ⋮ A primal-dual method of partial inverses for composite inclusions ⋮ A dual criterion for maximal monotonicity of composition operators ⋮ The over-relaxed proximal point algorithm based on \(H\)-maximal monotonicity design and applications ⋮ A hybrid proximal point algorithm based on the \((A,\eta )\)-maximal monotonicity framework ⋮ Duality and gap function for generalized multivalued ϵ-vector variational inequality ⋮ The generalized relaxed proximal point algorithm involving A-maximal-relaxed accretive mappings with applications to Banach spaces ⋮ A new relaxed proximal point procedure and applications to nonlinear variational inclusions ⋮ Double-regularization proximal methods, with complementarity applications ⋮ Best Approximation from the Kuhn-Tucker Set of Composite Monotone Inclusions ⋮ A variable metric proximal-descent algorithm for monotone operators ⋮ General implicit variational inclusion problems based on \(A\)-maximal (\(m\))-relaxed monotonicity (AMRM) frameworks ⋮ Generalized Eckstein-Bertsekas proximal point algorithm based ona-maximal monotonicity design ⋮ Duality for \(\varepsilon \)-variational inequality ⋮ On Rockafellar's theorem using proximal point algorithm involving \(H\)-maximal monotonicity framework ⋮ Duality for \(\varepsilon \)-variational inequalities via the subdifferential calculus ⋮ Super-relaxed \((\eta)\)-proximal point algorithms, relaxed \((\eta)\)-proximal point algorithms, linear convergence analysis, and nonlinear variational inclusions ⋮ Role of relative \(A\)-maximal monotonicity in overrelaxed proximal-point algorithms with Applications ⋮ Variable metric forward–backward splitting with applications to monotone inclusions in duality ⋮ Variational composition of a monotone operator and a linear mapping with applications to elliptic PDEs with singular coefficients ⋮ Composition duality principles for mixed variational inequalities
This page was built for publication: Composition duality and maximal monotonicity
