Second-order composed contingent epiderivatives and set-valued vector equilibrium problems
Qilin Wang, Zhi Lin, Jing Zeng, Zai-Yun Peng, Xiaobing Li · Journal of Inequalities and Applications · 2014
In this paper, we introduce the concept of a second-order composed contingent epiderivative for set-valued maps and discuss some of its properties.Then, by virtue of the second-order composed contingent epiderivative, we establish second-order sufficient optimality conditions and necessary optimality conditions for the weakly efficient solution of set-valued vector equilibrium problems with unconstraints and set-valued vector equilibrium problems with constraints, respectively.