The zero duality gap property and lower semicontinuity of the perturbation function

Title: The zero duality gap property and lower semicontinuity of the perturbation function
Creator: Rubinov, Alex; Huang, X. X.; Yang, Xiao
Date: 2002
Type: Text; Journal article
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/66211
Identifier: vital:759
Identifier: https://doi.org/10.1287/moor.27.4.775.295
Identifier: ISSN:0364-765X
Abstract: We examine the validity of the zero duality gap properties for two important dual schemes: a generalized augmented Lagrangian dual scheme and a nonlinear Lagrange-type dual scheme. The necessary and sufficient conditions for the zero duality gap property to hold are established in terms of the lower semicontinuity of the perturbation functions.
Publisher: Institute for Operations Research and the Management Sciences (I NFORM S)
Relation: Mathematics of Operations Research Vol. 27, no. 4 (2002), p. 775-791
Rights: Copyright Institute for Operations Research and the Management Sciences (I NFORM S)
Rights: This metadata is freely available under a CCO license
Subject: 0102 Applied Mathematics; Augmented Lagrangian; Nonlinear Lagrangian; Nonlinear penalization; Zero duality gap property; Functions; Lagrange multipliers; Optimisation; Poles and zeros; Problem solving; Theorem proving; Perturbation function; Perturbation techniques
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