Artículos de revistas
On Second-Order Optimality Conditions for Vector Optimization
Registro en:
Journal Of Optimization Theory And Applications. Springer/plenum Publishers, v. 149, n. 2, n. 332, n. 351, 2011.
0022-3239
WOS:000289564300006
10.1007/s10957-010-9793-z
Autor
Maciel, MC
Santos, SA
Sottosanto, GN
Institución
Resumen
Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) In this article, two second-order constraint qualifications for the vector optimization problem are introduced, that come from first-order constraint qualifications, originally devised for the scalar case. The first is based on the classical feasible arc constraint qualification, proposed by Kuhn and Tucker (Proceedings of the Second Berkeley Symposium on Mathematical Statistics and Probability, vol. 1, pp. 481-492, University of California Press, California, 1951) together with a slight modification of McCormick's second-order constraint qualification. The second-the constant rank constraint qualification-was introduced by Janin (Math. Program. Stud. 21:110-126, 1984). They are used to establish two second-order necessary conditions for the vector optimization problem, with general nonlinear constraints, without any convexity assumption. 149 2 332 351 Southern National University [UNS 24/L069] Comahue National University [E081/09] Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) PRONEX-Optimization Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Southern National University [UNS 24/L069] Comahue National University [E081/09] CNPq [303465/2007-7, 304032/2010-7] FAPESP [2006-53768-0]