New Generalized Second-Order Contingent Epiderivatives and Set-Valued Optimization Problems

作者：Li S J^*; Zhu S K; Teo K L

来源：Journal of Optimization Theory and Applications, 2012, 152(3): 587-604.

DOI：10.1007/s10957-011-9915-2

• Set-valued optimization
• Generalized second-order composed contingent epiderivative
• Optimality conditions

In this paper, we introduce the concept of a generalized second-order composed contingent epiderivative for set-valued maps and discuss its relationship to the generalized second-order contingent epiderivative. We also investigate some of its properties. Then, by virtue of the generalized second-order composed contingent epiderivative, we establish a unified second-order sufficient and necessary optimality condition for set-valued optimization problems, which is a generalization of the corresponding results in the literature.

• 出版日期2012-3
• 单位重庆大学