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Necessary conditions for nonsmooth multiobjective semi-infinite problems using Michel–Penot subdifferential

Author

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  • Giuseppe Caristi

    (University of Messina)

  • Massimiliano Ferrara

    (University of Reggio Calabria)

Abstract

In this paper, for a nonsmooth multiobjective semi-infinite optimization problem, where the objective and constraint functions are locally Lipschitz, some constraint qualifications are given, and Kuhn–Tucker-type necessary optimality conditions are derived. All results are expressed in terms of Michel–Penot subdifferential.

Suggested Citation

  • Giuseppe Caristi & Massimiliano Ferrara, 2017. "Necessary conditions for nonsmooth multiobjective semi-infinite problems using Michel–Penot subdifferential," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 40(1), pages 103-113, November.
    • Handle: RePEc:spr:decfin:v:40:y:2017:i:1:d:10.1007_s10203-017-0186-8
    DOI: 10.1007/s10203-017-0186-8
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    References listed on IDEAS

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    1. V. Jeyakumar & D.T. LUC, 2008. "Nonsmooth Vector Functions and Continuous Optimization," Springer Optimization and Its Applications, Springer, number 978-0-387-73717-1, September.
    2. Lopez, Marco & Still, Georg, 2007. "Semi-infinite programming," European Journal of Operational Research, Elsevier, vol. 180(2), pages 491-518, July.
    3. Nader Kanzi, 2011. "Necessary optimality conditions for nonsmooth semi-infinite programming problems," Journal of Global Optimization, Springer, vol. 49(4), pages 713-725, April.
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