Necessary conditions for continuous-time optimization under the Mangasarian–Fromovitz constraint qualification

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Data

2019-01-01

Autores

do Monte, Moisés Rodrigues Cirilo [UNESP]
de Oliveira, Valeriano Antunes [UNESP]

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Resumo

In this paper, a Mangasarian–Fromovitz-type regularity condition is presented with the purpose of obtaining first order necessary optimality conditions for continuous-time nonlinear programming problems with both equality and inequality constraints. The Karush–Kuhn–Tucker-type optimality conditions are obtained by means of geometric ideas, where a theorem of the alternative and a uniform implicit function theorem are the main tools.

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90C30, 90C46, constraint qualifications, Continuous-time programming, Mangasarian–Fromovitz conditions, necessary conditions

Como citar

Optimization.