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A note on kkt-invexity in nonsmooth continuous-time optimization

  • Antunes de Oliveira, Valeriano [2] ; Rojas Medar, Marko Antonio [1] Árbol académico ; Vieira Brandão, Adilson José
    1. [1] Universidad del Bío-Bío

      Universidad del Bío-Bío

      Comuna de Concepción, Chile

    2. [2] Universidade Estadual Paulista, Brasil.
  • Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 26, Nº. 3, 2007, págs. 269-279
  • Idioma: inglés
  • DOI: 10.4067/S0716-09172007000300005
  • Enlaces
  • Resumen
    • We introduce the notion of KKT-invexity for nonsmooth continuoustime nonlinear optimization problems and prove that this notion is a necessary and sufficient condition for every KKT solution to be a global optimal solution.

  • Referencias bibliográficas
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    • [2] A. J. V. Brand˜ao, M. A. Rojas-Medar and G.N. Silva, Nonsmooth continuous-time optimization problems: necessary conditions, Comp. Math....
    • [3] F. H. Clarke, Optimization and nonsmooth analysis, Classics in Applied Mathematics 5, SIAM, (1990).
    • [4] M. A. Hanson, On sufficiency of Kuhn-Tucker conditions, J. Math. Anal. Appl., 30, pp. 545-550, (1981).
    • [5] D. H. Martin, The essence of invexity, J. Optim. Theory Appl., 47, pp. 65-76, (1985).
    • [6] V. A. de Oliveira and M.A. Rojas-Medar, Continuous-time optimization problems involving invex functions, J. Math. Anal. Appl., 327, pp....
    • [7] M. A. Rojas-Medar, A.J.V. Brand˜ao and G.N. Silva, Nonsmooth continuous-time optimization problems: sufficient conditions, J. Math. Anal.Appl.,...
    • [8] G. J. Zalmai, A continuous-time generalization of Gordan’s transposition theorem, J. Math. Anal. Appl., 110, pp. 130-140, (1985).
    • [9] G. J. Zalmai, The Fritz John and Kuhn-Tucker optimality conditions in continuous-time nonlinear programming, J. Math. Anal. Appl., 110,...

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