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Optimality Conditions for C 1,1 Constrained Multiobjective Problems

Author

Listed:
  • A. Guerraggio

    (University of Pavia)

  • D.T. Luc

    (University of Avignon, Avignon, France and)

Abstract

The present paper is concerned with the study of the optimality conditions for constrained multiobjective programming problems in which the data have locally Lipschitz Jacobian maps. Second-order necessary and sufficient conditions for efficient solutions are established in terms of second-order subdifferentials of vector functions.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:joptap:v:116:y:2003:i:1:d:10.1023_a:1022114319999
    DOI: 10.1023/A:1022114319999
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    References listed on IDEAS

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    1. S. Bolintinéanu & M. El Maghri, 1998. "Second-Order Efficiency Conditions and Sensitivity of Efficient Points," Journal of Optimization Theory and Applications, Springer, vol. 98(3), pages 569-592, September.
    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. 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.
    4. 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.
    5. 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. Ginchev Ivan & Guerraggio Angelo & Rocca Matteo, 2004. "Second-order conditions in C1,1 constrained vector optimization," Economics and Quantitative Methods qf0409, Department of Economics, University of Insubria.
    2. 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.
    3. 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.
    4. 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.

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