Higher-order optimality conditions for set-valued optimization with ordering cones having empty interior using variational sets

作者：Nguyen Le Hoang Anh^*

来源：Positivity, 2016, 20(1): 41-60.

DOI：10.1007/s11117-015-0339-3

• Set-valued optimization
• Higher-order optimality conditions
• Calculus rules
• Proper Henig solutions
• Variational sets
• Nearly subconvexlikeness

In this paper, we first establish chain rules and sum rules for variational sets of type 2. For their applications, optimality conditions of two particular optimization problems are discussed. Then, we obtain higher-order optimality conditions for proper Henig solutions of a set-valued optimization problem in terms of variational sets of type 2 when ordering cones have empty interior.

• 出版日期2016-3