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a.e. in O.T Antunes de Oliveira assume Banach space Campinas-SP class of continuous-time Classificacao continuous-time nonlinear problems continuous-time nonlinear programming Continuous-Time Optimization Problems cost function denote differentiable Domain Topology Elliptic Equation Equa feasible solution Filidor Frechet Furtado g satisfies global minimizer Global optimality Guillen Gonzalez hypothesis J.M. Martinez Karush Karush-Kuhn-Tucker KKT conditions KKT point Lebesgue measurable Linear M. A. Rojas Medar M.A. Rojas-Medar Mangasarian-Fromovitz Constraint Qualification Marcelo F Marko Martin 17 Martinez and M.L. mathematical programming Metodos Minimal Nodal Solutions Motzkin alternative theorem Motzkin type theorem Niimeros de Fibonacci nonlinear programming problem nonsmooth notion of invexity notion of KT-invexity Number Oa.e open convex subset optimalitv conditions Plinio point for CNP point that satisfy Problem CNP Problems via KT-Invexity PROOF Quasilinear recall the notion RELATORIOS DE PESQUISA Ricardo Ronaldo Dias Santos satisfies the Mangasarian-Fromovitz satisfy the KKT sufficient conditions supported by CNPq-Brazil t)dt Takeyama tion with Symmetry Vo(y write KKT Zalmai