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 Rigidity of abnormal extrema in nonlinear programming problems with equality and inequality constraints
Please use this identifier to cite or link to this item http://hdl.handle.net/10773/6191

title: Rigidity of abnormal extrema in nonlinear programming problems with equality and inequality constraints
authors: Tchemisova, T. V.
keywords: Nonlinear programming
Optimality conditions
Abnormal extremum
Rigidity
issue date: 2007
publisher: Elsevier
abstract: Optimality conditions for nonlinear problems with equality and inequality constraints are considered. In the case when no constraint qualification (or regularity) is assumed, the Lagrange multiplier corresponding to the objective function can vanish in first order necessary optimality conditions given by Fritz John and the corresponding extremum is called abnormal. In the paper we consider second order sufficient optimality conditions that guarantee the rigidity of abnormal extrema (i.e. their isolatedness in the admissible sets).
URI: http://hdl.handle.net/10773/6191
ISSN: 0377-2217
publisher version/DOI: http://dx.doi.org/10.1016/j.ejor.2005.09.051
source: European Journal of Operational Research
appears in collectionsCIDMA - Artigos

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