Optimality conditions for nonsmooth generalized semi-infinite programs

Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/7021

Title:	Optimality conditions for nonsmooth generalized semi-infinite programs
Authors:	Chen, Z Chen, Z
Issue Date:	2013
Source:	Abstract and applied analysis, 2013, v. 2013, 131938, p. 1-8
Abstract:	We consider a class of nonsmooth generalized semi-infinite programming problems. We apply results from parametric optimization to the lower level problems of generalized semi-infinite programming problems to get estimates for the value functions of the lower level problems and thus derive necessary optimality conditions for generalized semi-infinite programming problems. We also derive some new estimates for the value functions of the lower level problems in terms of generalized differentiation and further obtain the necessary optimality conditions.
Keywords:	Marginal functions Constraint qualification Feasible set Optimizaion Closure
Publisher:	Hindawi Publishing Corporation
Journal:	Abstract and applied analysis
ISSN:	1085-3375 (print) 1687-0409 (online)
DOI:	10.1155/2013/131938
Rights:	Copyright © 2013 Zhangyou Chen and Zhe Chen. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Appears in Collections:	Journal/Magazine Article

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