Geodesic
On necessary extremum conditions for finite-dimensional problems with inequality constraints
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 11, pp. 1950-1961
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The finite-dimensional optimization problem with equality and inequality constraints is examined. The case where the classical regularity condition is violated is analyzed. Necessary second-order extremum conditions are obtained that are stronger versions of some available results. 
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D. Yu. Karamzin. On necessary extremum conditions for finite-dimensional problems with inequality constraints. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 11, pp. 1950-1961. http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_11_a2/

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