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| Paper IPM / M / 14050 |
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| Abstract: | |
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This article is devoted to the study of Fritz John and strong Kuhn-Tucker necessary
conditions for properly efficient solutions, efficient solutions and isolated efficient solutions of
a nonsmooth multiobjective optimization problem involving inequality and equality constraints
and a set constraints in terms of the lower Hadamard directional derivative. Sufficient
conditions for the existence of such solutions are also provided where the involved functions
have pseudoconvex sublevel sets. Our results are based on the concept of pseudoconvex sublevel
sets. The functions with pseudoconvex sublevel sets are a class of generalized convex functions
that include quasiconvex functions.
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