Higher-order optimality conditions for proper efficiency in nonsmooth vector optimization using radial sets and radial derivatives
We establish both necessary and sufficient optimality conditions of higher orders for various kinds of proper solutions to nonsmooth vector optimization in terms of higher-order radial sets and radial derivatives. These conditions are for global solutions and do not require continuity and convexity assumptions. Examples are provided to show advantages of the results over existing ones in a number of cases.
higher-order optimality conditions higher-order radial sets and derivatives calculus rules \(q\)-minimality various kinds of proper efficiency set-valued vector optimization 90c46 49j52 46g05 90c26 90c29