Higher-order optimality conditions for proper efficiency in nonsmooth vector optimization using radial sets and radial derivatives

作者：Nguyen Le Hoang Anh^*; Phan Quoc Khanh

来源：Journal of Global Optimization, 2014, 58(4): 693-709.

DOI：10.1007/s10898-013-0077-7

• Higher-order radial sets and derivatives
• Calculus rules
• Q-minimality
• Various kinds of proper efficiency
• Higher-order optimality conditions
• set-valued vector optimization

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.

• 出版日期2014-4