An implementable augmented Lagrange method for solving fixed point problems with coupled constraints

DOI10.1016/j.na.2010.10.048zbMath1221.65148OpenAlexW2008188574MaRDI QIDQ629292

Li Wang, Feng Shan, Li-wei Zhang

Publication date: 9 March 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.10.048

zbMATH Keywords

convergencenumerical examplesNewton methodfixed point problemcoupled constraintsaugmented Lagrange functionsemi-smooth function

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Nonlinear programming (90C30) Fixed-point theorems (47H10) Set-valued operators (47H04)

Related Items

An Implementable Augmented Lagrangian Method for Solving Second-Order Cone Constrained Variational Inequalities

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The rate of convergence of the augmented Lagrangian method for nonlinear semidefinite programming
• Enlarging the region of convergence of Newton's method for constrained optimization
• Equilibrium programming: Proximal methods
• Solution methods for variational inequalities with coupled constraints
• Differential equations for equilibrium problems with coupled constraints.
• The convergence of proximal methods to fixed points of extremal mappings and estimates of their rate of convergence
• A nonsmooth version of Newton's method
• Multiplier and gradient methods
• The multiplier method of Hestenes and Powell applied to convex programming
• Finite-Dimensional Variational Inequalities and Complementarity Problems
• Some Properties of the Augmented Lagrangian in Cone Constrained Optimization
• Set-valued analysis

This page was built for publication: An implementable augmented Lagrange method for solving fixed point problems with coupled constraints