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| Paper IPM / M / 14990 |
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| Abstract: | |
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In this paper, we study necessary optimality conditions for local Pareto and weak
Pareto solutions of multiobjective problems involving inequality and equality constraints in terms
of convexificators. We develop the enhanced Karush-Kuhn-Tucker conditions and introduce the
associated pseudonormality and quasinormality conditions. We also introduce several other new
constraint qualifications which entirely depend on the feasible set. Then a connecting link between
these constraint qualifications is presented. Moreover, we provide a number of examples that clarify
the interrelations between the different results that we have established.
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