On approximate quasi Pareto solutions in nonsmooth semi-infinite interval-valued vector optimization problems

This paper deals with approximate solutions of a nonsmooth semi-infinite programming multiple interval-valued objective functions. We first introduce four types quasi Pareto the considered problem by considering lower-upper interval order relation and then apply some advanced tools variational analysis generalized differentiation to establish necessary optimality conditions for these solutions. Sufficient such are also provided means introducing concepts (strictly) pseudo-quasi convex functions defined in terms limiting subdifferential locally Lipschitz Finally, Mond–Weir type dual model form is formulated, weak, strong converse-like duality relations proposed.