Abstract
In this paper we study stability issues for vectorial directional minima of sets and set-valued constrained optimization problems. In our work we consider several constructions and tools from interiority properties, enlargement of cones and the extremal principle to generalized Lipschitz properties. Our results complete the literature in this area of research, by proposing a different set of hypotheses for getting the stability of efficiency and preservation of criticality under perturbations.
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