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

Le Thanh Tung ()
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Le Thanh Tung: Can Tho University

Annals of Operations Research, 2022, vol. 311, issue 2, No 33, 1307-1334

Abstract: 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.

Keywords: Multiobjective semi-infinite programming; Vanishing constraints; Constraint qualifications; Karush–Kuhn–Tucker optimality conditions; Mond–Weir duality; Wolfe duality; 90C46; 90C34; 49K10 (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10479-020-03742-1

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