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|title: ||Rigidity of abnormal extrema in nonlinear programming problems with equality and inequality constraints|
|authors: ||Tchemisova, T. V.|
|keywords: ||Nonlinear programming|
|issue date: ||2007|
|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).|
|publisher version/DOI: ||http://dx.doi.org/10.1016/j.ejor.2005.09.051|
|source: ||European Journal of Operational Research|
|appears in collections||CIDMA - Artigos|
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