ABSTRACT
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.
Disclosure statement
No potential conflict of interest was reported by the authors.
ORCID
Moisés Rodrigues Cirilo do Monte http://orcid.org/0000-0002-0436-769X
Valeriano Antunes de Oliveira http://orcid.org/0000-0003-3613-3801