Abstract
In this work, we establish some relations between several notions of vector critical points and efficient, weak efficient and ideal efficient solutions of a vector optimization problem with a locally Lipschitz objective function. These relations are stated under pseudoinvexity hypotheses and via the generalized Jacobian. We provide a characterization of pseudoinvexity (resp. strong pseudoinvexity) through the property that every vector critical point is a weak efficient (resp. efficient) solution. We also obtain some properties of invex functions in connection with linear scalarizations. Several examples illustrating our results are also provided.
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