Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/32160
Title: Some results about duality and exact penalization
Authors: Zhou, YY
Yang, XQ 
Issue Date: 2004
Source: Journal of global optimization, 2004, v. 29, no. 4, p. 497-509
Abstract: In this paper, we introduce the concept of the valley at 0 augmenting function and apply it to construct a class of valley at 0 augmented Lagrangian functions. We establish the existence of a path of optimal solutions generated by valley at 0 augmented Lagrangian problems and its convergence toward the optimal set of the original problem and obtain the zero duality gap property between the primal problem and the valley at 0 augmented Lagrangian dual problem. Moreover, we establish the exact penalization representation results in the framework of valley at 0 augmented Lagrangian.
Keywords: Exact penalty function
Optimal path
Valley at 0 augmenting function
Zero duality gap
Publisher: Kluwer Academic Publ
Journal: Journal of global optimization 
ISSN: 0925-5001
EISSN: 1573-2916
DOI: 10.1023/B:JOGO.0000047916.73871.88
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