Bregman-like functions and proximal methods for variational problems with nonlinear constraints

DOI10.1080/02331930600809259zbMath1133.49010OpenAlexW2019874425MaRDI QIDQ5758218

Rainer Tichatschke, Alexander Kaplan

Publication date: 3 September 2007

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331930600809259

zbMATH Keywords

variational problemsinterior proximal methodBregman-like functions

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Convex programming (90C25) Variational inequalities (49J40) Interior-point methods (90C51)

Related Items (7)

An interior proximal method in vector optimization ⋮ Maximal monotone operators and the proximal point algorithm in the presence of computational errors ⋮ The extragradient method for solving variational inequalities in the presence of computational errors ⋮ A proximal point algorithm for finding a common zero of a finite family of maximal monotone operators in the presence of computational errors ⋮ Pseudomonotone operators and the Bregman proximal point algorithm ⋮ Interior proximal method without the cutting plane property ⋮ Bregman functions and auxiliary problem principle

Cites Work

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• Interior proximal method for variational inequalities: Case of nonparamonotone operators
• \(\varepsilon\)-enlargements of maximal monotone operators in Banach spaces
• An Inexact Hybrid Generalized Proximal Point Algorithm and Some New Results on the Theory of Bregman Functions
• On inexact generalized proximal methods with a weakened error tolerance criterion
• Extended auxiliary problem principle using Bregman distances
• On the Maximality of Sums of Nonlinear Monotone Operators

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