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Sufficiency in Nonsmooth Multiobjective Programming Involving Generalized (Fρ)-convexity

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  • S. Nobakhtian

    (University of Isfahan)

Abstract

In this paper, we consider a generalization of convexity for nonsmooth multiobjective programming problems. We obtain sufficient optimality conditions under generalized (Fρ)-convexity.

Suggested Citation

  • S. Nobakhtian, 2006. "Sufficiency in Nonsmooth Multiobjective Programming Involving Generalized (Fρ)-convexity," Journal of Optimization Theory and Applications, Springer, vol. 130(2), pages 361-367, August.
  • Handle: RePEc:spr:joptap:v:130:y:2006:i:2:d:10.1007_s10957-006-9105-9
    DOI: 10.1007/s10957-006-9105-9
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    References listed on IDEAS

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    1. Jean-Philippe Vial, 1983. "Strong and Weak Convexity of Sets and Functions," Mathematics of Operations Research, INFORMS, vol. 8(2), pages 231-259, May.
    2. VIAL, Jean-Philippe, 1983. "Strong and weak convexity of sets and functions," LIDAM Reprints CORE 529, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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    Cited by:

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    2. S. Suneja & Seema Khurana & Meetu Bhatia, 2011. "Optimality and duality in vector optimization involving generalized type I functions over cones," Journal of Global Optimization, Springer, vol. 49(1), pages 23-35, January.

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