SOME SECOND-ORDER SUFFICIENT CONDITIONS FOR NON-SMOOTH CONSTRAINED MULTI-OJECTIVE OPTIMIZATION

Abstract

This paper investigates nonsmooth multiobjective optimization prob

lems with set constraints, and equality-inequality constraints. Using ap

proximations as generalized derivatives we establish second-order suffi-

cient conditions for strict local minima of order-2. The mappings involved

in our problems are assumed only to be continuously differentiable of

order-1. Examples are provided to show advantages of our results over

recent ones in the literature.