On constraint qualifications in multiobjective optimization problems with vanishing constraints: Semidifferentiable case

Abstract

In this paper, we consider a multiobjective optimization problem with vanishing constraints. We discuss some constraint qualifications for multiobjective optimization problems with vanishing constraints involving semidifferentiable functions and establish relationships among them. Also, we derive Karush-Kuhn-Tucker type necessary optimality conditions for multiobjective optimization problems with vanishing constraints involving semidifferentiable functions under generalized convexity assumptions.