Pseudomonotone operators and the Bregman proximal point algorithm
From MaRDI portal
Publication:1959229
DOI10.1007/s10898-009-9470-7zbMath1228.90081OpenAlexW2027111870MaRDI QIDQ1959229
Publication date: 6 October 2010
Published in: Journal of Global Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10898-009-9470-7
variational inequalitiespseudomonotone operatorsBregman distancesproximal point algorithminterior-point-effect
Nonconvex programming, global optimization (90C26) Nonlinear programming (90C30) Variational and other types of inequalities involving nonlinear operators (general) (47J20) Numerical optimization and variational techniques (65K10) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20)
Related Items
Interior proximal extragradient method for equilibrium problems ⋮ An inexact proximal method for quasiconvex minimization ⋮ An inexact algorithm with proximal distances for variational inequalities ⋮ Interior point methods for equilibrium problems ⋮ An inexact scalarization proximal point method for multiobjective quasiconvex minimization ⋮ An interior proximal method for a class of quasimonotone variational inequalities ⋮ Interior proximal methods for quasiconvex optimization ⋮ On the Tikhonov regularization of affine pseudomonotone mappings ⋮ Interior proximal method without the cutting plane property ⋮ Unnamed Item ⋮ Interior Proximal Methods for equilibrium programming: part II ⋮ A variable metric proximal-descent algorithm for monotone operators ⋮ Interior proximal methods for equilibrium programming: part I
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the solution existence of pseudomonotone variational inequalities
- Solution methods for pseudomonotone variational inequalities
- Complementarity problems over cones with monotone and pseudomonotone maps
- An interior point method with Bregman functions for the variational inequality problem with paramonotone operators
- Approximate iterations in Bregman-function-based proximal algorithms
- Pseudomonotone variational inequality problems: Existence of solutions
- \(\varepsilon\)-enlargements of maximal monotone operators in Banach spaces
- New classes of generalized monotonicity
- A proximal method for pseudomonotone type variational-like inequalities
- Équations et inéquations non linéaires dans les espaces vectoriels en dualité
- An Inexact Hybrid Generalized Proximal Point Algorithm and Some New Results on the Theory of Bregman Functions
- Convergence analysis of an extended auxiliary problem principle with various stopping criteria
- Convergence Analysis of a Proximal-Like Minimization Algorithm Using Bregman Functions
- On a generalization of paramonotone maps and its application to solving the Stampacchia variational inequality
- Interior proximal method for variational inequalities on non-polyhedral sets
- Optimization and nonsmooth analysis
- Monotone Operators and the Proximal Point Algorithm
- A Generalized Proximal Point Algorithm for the Variational Inequality Problem in a Hilbert Space
- On inexact generalized proximal methods with a weakened error tolerance criterion
- Finite-Dimensional Variational Inequalities and Complementarity Problems
- Bregman-like functions and proximal methods for variational problems with nonlinear constraints
- Pseudomonotone variational inequalities: Convergence of proximal methods
