Necessary and sufficient conditions for Kuhn–Tucker type optimality and for weak duality of nonsmooth programming

Autor:	Ying Zhang, Ying-Tao Xu, Fei Wang
Rok vydání:	2009
Předmět:	Mathematical optimization Karush–Kuhn–Tucker conditions Applied Mathematics Mathematics::Optimization and Control Strong duality Duality (optimization) Applied mathematics Mixed type Analysis Weak duality Mathematics
Zdroj:	Nonlinear Analysis: Theory, Methods & Applications. 71:4007-4011
ISSN:	0362-546X
DOI:	10.1016/j.na.2009.02.082
Popis:	In this paper, we are concerned with a nonsmooth programming problem with inequality constraints. We obtain an optimality condition for Kuhn–Tucker points to be minimizers. Later on, we present necessary and sufficient conditions for weak duality between the primal problem and its mixed type dual, which help us to extend some earlier work from the literature.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::e918ae7191cba2dc8ea8c393bc36342d https://doi.org/10.1016/j.na.2009.02.082 Zobrazit plný text záznamu Full Text from ScienceDirect