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Properly efficient solutions to non-differentiable multiobjective optimization problems.

  • Batista dos Santos, L. [1] ; Rojas-Medar, M. A. [2] Árbol académico ; Vivanco-Orellana, V. [3]
    1. [1] Universidade Federal do Paraná

      Universidade Federal do Paraná

      Brasil

    2. [2] Universidad de Tarapacá

      Universidad de Tarapacá

      Arica, Chile

    3. [3] Universidad Católica de la Santísima Concepción

      Universidad Católica de la Santísima Concepción

      Comuna de Concepción, Chile

  • Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 37, Nº. 3, 2018, págs. 429-438
  • Idioma: inglés
  • DOI: 10.4067/s0716-09172018000300429
  • Enlaces
  • Resumen
    • In this work sufficient conditions are established to ensure that all feasible points are (properly) efficient solutions in non trivial situations, for a class of non-differentiable, non-convex multiobjective minimization problems. Considering locally Lipschitz functions and some results of non-differentiable analysis introduced by F. H. Clarke.

  • Referencias bibliográficas
    • V. Chankong, Y. Haimes: Multiobjective decision making: theory and methodology. North-Holland, New York, (1983).
    • F. H. Clarke,Optimization and nonsmooth analysis, SIAM, Philadelphia, (1990).
    • A. M. Geoffrion, Proper efficiency and the theory of vector maximization, J. Math. Anal. Appl., 22, pp. 618-630, (1968).
    • M. A. Hanson, On sufficiency of the Kuhn-Tucker conditions. J. Math. Anal. Appl. 80, pp. 545-550, (1981).
    • V. Pareto, Cours dEconomie Politique, Rouge, (1886). ´
    • T. D. Phuong, P. H. Sach, N. D. Yen, Strict lower semicontinuity of the level sets and invexity of a locally Lipschitz function, J. Optim....
    • A. Siposová, A note on global Pareto optimality in multicriteria optimization problems, Nonlinear Analysis 69, pp. 1321-1324, (2008).

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