Abstract

Optimality conditions are an essential part of mathematical optimization theory, affecting heavily, for example to the optimization method development. Different types of generalized convexities have proved to be the main tool when constructing optimality conditions, particularly sufficient conditions for optimality. The purpose of this paper is to present some necessary and sufficient optimality conditions for locally Lipschitz continuous multiobjective problems. In order to prove sufficient optimality conditions some generalized convexity properties for functions are introduced. For necessary optimality conditions we will need also some constraint qualifications.

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