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Optimality Conditions for C1,1 Vector Optimization Problems

Author

Listed:
  • A. Guerraggio

    (University of Pavia)

  • D. T. Luc

    (University of Avignon
    Institute of Mathematics)

Abstract

The main purpose of this paper is to make use of the second-order subdifferential of vector functions to establish necessary and sufficient optimality conditions for vector optimization problems.

Suggested Citation

  • A. Guerraggio & D. T. Luc, 2001. "Optimality Conditions for C1,1 Vector Optimization Problems," Journal of Optimization Theory and Applications, Springer, vol. 109(3), pages 615-629, June.
    • Handle: RePEc:spr:joptap:v:109:y:2001:i:3:d:10.1023_a:1017519922669
    DOI: 10.1023/A:1017519922669
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    References listed on IDEAS

    as
    1. The Luc, Dinh, 1995. "On the properly efficient points of nonconvex sets," European Journal of Operational Research, Elsevier, vol. 86(2), pages 332-336, October.
    2. B. Aghezzaf & M. Hachimi, 1999. "Second-Order Optimality Conditions in Multiobjective Optimization Problems," Journal of Optimization Theory and Applications, Springer, vol. 102(1), pages 37-50, July.
    3. D. T. Luc & S. Schaible, 1997. "Efficiency and Generalized Concavity," Journal of Optimization Theory and Applications, Springer, vol. 94(1), pages 147-153, July.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. P. Q. Khanh & N. D. Tuan, 2007. "Optimality Conditions for Nonsmooth Multiobjective Optimization Using Hadamard Directional Derivatives," Journal of Optimization Theory and Applications, Springer, vol. 133(3), pages 341-357, June.
    2. Nguyen Minh Tung & Nguyen Xuan Duy Bao, 2023. "New Set-Valued Directional Derivatives: Calculus and Optimality Conditions," Journal of Optimization Theory and Applications, Springer, vol. 197(2), pages 411-437, May.
    3. P. Q. Khanh & N. D. Tuan, 2006. "First and Second Order Optimality Conditions Using Approximations for Nonsmooth Vector Optimization in Banach Spaces," Journal of Optimization Theory and Applications, Springer, vol. 130(2), pages 289-308, August.
    4. Davide LA TORRE, 2004. "On arcwise connected convex set values mappings," Departmental Working Papers 2004-06, Department of Economics, Management and Quantitative Methods at Università degli Studi di Milano.
    5. A. Guerraggio & D.T. Luc, 2003. "Optimality Conditions for C 1,1 Constrained Multiobjective Problems," Journal of Optimization Theory and Applications, Springer, vol. 116(1), pages 117-129, January.

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