Lagrange Multiplier Rules for Weakly Minimal Solutions of Compact-Valued Set Optimization Problems
Tijani Amahroq, Abdessamad Oussarhan · Asia Pacific Journal of Operational Research · 2019
Optimality conditions are established in terms of Lagrange–Fritz–John multipliers as well as Lagrange–Kuhn–Tucker multipliers for set optimization problems (without any convexity assumption) by using new scalarization techniques. Additionally, we indicate how these results may be applied to some particular weak vector equilibrium problems.