On efficient applications of G-Karush-Kuhn-Tucker necessary optimality theorems to multiobjective programming problems

We prove a slightly modified G-Karush-Kuhn-Tucker necessary optimality theorem for multiobjective programming problems, which was originally given by Antczak (J Glob Optim 43:97–109, 2009), and give an example showing the efficient application of (modified) G-Karush-Kuhn-Tucker optimality theorem to the problems.