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Karush–Kuhn–Tucker optimality conditions and duality for multiobjective semi-infinite programming with vanishing constraints

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  • Le Thanh Tung

    (Can Tho University)

Abstract

This paper concentrates on studying multiobjective semi-infinite programming with vanishing constraints. Firstly, the necessary and sufficient Karush–Kuhn–Tucker optimality conditions for multiobjective semi-infinite programming with vanishing constraints are considered. Then, we formulate Wolfe and Mond–Weir type dual problems and establish duality relations under convexity assumptions. Some examples are proposed to verify our results.

Suggested Citation

  • Le Thanh Tung, 2022. "Karush–Kuhn–Tucker optimality conditions and duality for multiobjective semi-infinite programming with vanishing constraints," Annals of Operations Research, Springer, vol. 311(2), pages 1307-1334, April.
    • Handle: RePEc:spr:annopr:v:311:y:2022:i:2:d:10.1007_s10479-020-03742-1
    DOI: 10.1007/s10479-020-03742-1
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    References listed on IDEAS

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