Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/34823
Title: Extended lagrange and penalty functions in optimization
Authors: Rubinov, AM
Yang, XQ 
Glover, BM
Keywords: Lagrange multipliers
Penalty coefficients
Zero duality gap
Exact penalization
Regular weak separation functions
Increasing positively homogeneous functions
Issue Date: 2001
Publisher: Springer
Source: Journal of optimization theory and applications, 2001, v. 111, no. 2, p. 381-405 How to cite?
Journal: Journal of optimization theory and applications
Abstract: We consider nonlinear Lagrange and penalty functions for optimization problems with a single constraint. The convolution of the objective function and the constraint is accomplished by an increasing positively homogeneous of the first degree function. We study necessary and also sufficient conditions for the validity of the zero duality gap property for both Lagrange and penalty functions and for the exact penalization. We also study the so-called regular weak separation functions.
URI: http://hdl.handle.net/10397/34823
ISSN: 0022-3239 (print)
1573-2878 (online)
DOI: 10.1023/A:1011938519299
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