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

Indexed by:期刊论文

Journal:NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS

Included Journals:Scopus、SCIE、EI

Volume:74

Issue:5

Page Number:1761-1768

ISSN No.:0362-546X

Key Words:Fixed point problem; Coupled constraints; Augmented Lagrange function; Semismooth function; Newton method

Abstract:An augmented Lagrange function method for solving fixed point problems with coupled constraints is studied, and a theorem of its global convergence is demonstrated. The semismooth Newton method is used to solve the inner problems for obtaining approximate solutions, and numerical results are reported to verify the effectiveness of the augmented Lagrange function method for solving three examples with more than 1000 variables. (C) 2010 Elsevier Ltd. All rights reserved.

Date of Publication:2011-03-01