A SPLITTING METHOD FOR COMPOSITE MAPPINGS
From MaRDI portal
Publication:4806006
DOI10.1081/NFA-120016274zbMath1054.49022OpenAlexW2013632520MaRDI QIDQ4806006
Publication date: 2002
Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1081/nfa-120016274
stochastic programmingvariational inequalitiesparameter estimationHilbert spaceset-valued mappingsplitting methodvariational inclusionsnonlinear partial differential equations in divergence form
Variational inequalities (49J40) Stochastic programming (90C15) Set-valued and variational analysis (49J53) Iterative procedures involving nonlinear operators (47J25) Theoretical approximation in context of PDEs (35A35)
Related Items
Unnamed Item, A class of Dantzig-Wolfe type decomposition methods for variational inequality problems, A primal-dual method of partial inverses for composite inclusions, A class of decomposition methods for convex optimization and monotone variational inclusions via the hybrid inexact proximal point framework, The hybrid proximal decomposition method applied to the computation of a Nash equilibrium for hydrothermal electricity markets, Solving monotone inclusions via compositions of nonexpansive averaged operators, A splitting method for stochastic programs, A variable metric proximal-descent algorithm for monotone operators, On an iterative method for finding a zero to the sum of two maximal monotone operators, An LS-free splitting method for composite mappings
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Partial inverse of a monotone operator
- On the Douglas-Rachford splitting method and the proximal point algorithm for maximal monotone operators
- Duality and optimality in multistage stochastic programming
- Composition duality and maximal monotonicity
- Variational composition of a monotone operator and a linear mapping with applications to elliptic PDEs with singular coefficients
- Applications of a Splitting Algorithm to Decomposition in Convex Programming and Variational Inequalities
- Quantitative Stability of Variational Systems: I. The Epigraphical Distance
- Monotone Operators and the Proximal Point Algorithm
- Generalized equations and their solutions, Part I: Basic theory
- Quantitative stability analysis for maximal monotone operators and semi-groups of contractions
- Convergence Rates in Forward--Backward Splitting
- Variational Analysis
- Operator-Splitting Methods for Monotone Affine Variational Inequalities, with a Parallel Application to Optimal Control
- Dualization of Generalized Equations of Maximal Monotone Type
- A Modified Forward-Backward Splitting Method for Maximal Monotone Mappings
- Convex Analysis