Karush-Kuhn-Tucker optimality conditions and duality for nonsmooth multiobjective semi-infinite programming problems with vanishing constraints
Applied Set-Valued Analysis and Optimization · 2022
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.