Extended Lagrange and Penalty Functions in Optimization

A. M. Rubinov, X. Q. Yang and B. M. Glover
Additional contact information
A. M. Rubinov: University of Ballarat
X. Q. Yang: Hong Kong Polytechnic University
B. M. Glover: Curtin University of Technology

Journal of Optimization Theory and Applications, 2001, vol. 111, issue 2, No 8, 405 pages

Abstract: 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.

Keywords: Lagrange multipliers; penalty coefficients; zero duality gap; exact penalization; regular weak separation functions; increasing positively homogeneous functions (search for similar items in EconPapers)
Date: 2001
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DOI: 10.1023/A:1011938519299

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