A 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 qualifiation 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.
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