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

Abstract

This paper investigates nonsmooth multiobjective optimization problems with set constraints, and equality-inequality constraints. Using approximations as generalized derivatives we establish second-order sufficient 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.