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Le Thanh Tung, Karush-Kuhn-Tucker optimality conditions and duality for nonsmooth multiobjective semi-infinite programming problems with vanishing constraints

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DOI: 10.23952/asvao.4.2022.1.01
Volume 4, Issue 1, 1 April 2022, Pages 1-26

 

Abstract. This paper considers the nonsmooth multiobjective semi-infinite programming problems with vanishing constraints. Using Clarke subdifferentials, we first obtain both necessary and sufficient Karush-Kuhn-Tucker optimality conditions for nonsmooth multiobjective semi-infinite programming problems with vanishing constraints. Then, the duality relations of types of Wolfe and Mond-Weir dual problems are explored under convexity assumptions.

 

How to Cite this Article:
Le Thanh Tung, Karush-Kuhn-Tucker optimality conditions and duality for nonsmooth multiobjective semi-infinite programming problems with vanishing constraints, Appl. Set-Valued Anal. Optim. 4 (2022), 1-26.