Strong complementary approximate Karush-Kuhn-Tucker conditions for multiobjective optimization problems

Abstract

In this paper, we establish strong complementary approximate Karush- Kuhn-Tucker (SCAKKT) sequential optimality conditions for multiobjective optimization problems with equality and inequality constraints without any constraint qualifications and introduce a weak constraint qualification which assures the equivalence between SCAKKT and the strong Karush-Kuhn-Tucker (J Optim Theory Appl 80 (3): 483-500, 1994) conditions for multiobjective optimization problems.

Keywords

• multiobjective programming
• approximate karush-kuhn-tucker conditions
• nonlinear programming
• sequential optimality conditions