Remarks on Lagrange Multiplier Rules in Set Valued Optimization
  In this note, three Lagrange multiplier rules introduced in the literature for set valued optimization problems are compared. A generalization of all three results is given which proves that under rather mild assumptions, $x$ is a weak solution to the constrained problem, if and only if it is a weak solution to the Lagrangian. 
Carola Schrage
math.OC