Optimality conditions in terms of contingent epiderivatives for strict local Pareto minima in vector optimization problems with constraints (Q2056233)

The paper addresses primal and dual necessary and sufficient optimality conditions for strict local Pareto minima (also known as isolated local Pareto mimima) of a nonsmooth constrained vector optimization problem. Specifically, the feasible set of the problem is defined by set, cone and equality constraints and the objective and constraint functions are assumed to be steady at the nominal point. The necessary optimality conditions are formulated by contingent derivatives, contingent epiderivatives and contingent hypoderivatives of the involved functions. The sufficient ones are derived from them in the finite-dimensional setting by considering stable functions and other suitable assumptions. Some illustrative examples and comparisons with related results of the literature are also provided.