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On constraint qualifications with generalized convexity and optimality conditions

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This paper deals with a multiobjective programming problem involving both equality constraints in infinite dimensional spaces. It is shown that some constraint qualifications together with a condition of interior points are sufficient conditions for the invexity of constraint maps with respect to the same scale map. Under a new constraint qualification which involves an invexity condition and a generalized Slater condition a Kuhn-Tucker necessary condition is established

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  • Manh Hung Nguyen & Do Van Luu, 2006. "On constraint qualifications with generalized convexity and optimality conditions," Cahiers de la Maison des Sciences Economiques b06020, Université Panthéon-Sorbonne (Paris 1).
    • Handle: RePEc:mse:wpsorb:b06020
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    File URL: https://halshs.archives-ouvertes.fr/halshs-00113148
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    1. T. Illés & G. Kassay, 1999. "Theorems of the Alternative and Optimality Conditions for Convexlike and General Convexlike Programming," Journal of Optimization Theory and Applications, Springer, vol. 101(2), pages 243-257, May.
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