Dini Set-valued Directional Derivatives and Generalized Preinvex Vector Optimization?

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In topological vector spaces, the optimality condition of non-smooth vector optimization problems involving generalized convexity are studied. By using the concept of Dini set-valued directional derivatives, the necessary and sucient optimality conditions are estab-lished for weak and strong minimal solutions, respectively, in generalized preinvex vector optimization problems. It is proved that the weak effciency and strong effciency of a gen-eralized preinvex vector optimization problem can be characterized by a unified condition. These results deepen and enrich the current optimization theory.
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