This article is cited in 1 paper

On necessary extremum conditions for finite-dimensional problems with inequality constraints

D. Yu. Karamzin

Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119991, Russia

Abstract: 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.

Key words: finite-dimensional optimization problems, necessary extremum conditions, necessary second-order conditions, abnormal problems.

UDC: 519.626.2

Received: 18.03.2005
Revised: 23.05.2006

 English version: Computational Mathematics and Mathematical Physics, 2006, 46:11, 1860–1871

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