Second-order composed contingent epiderivatives and set-valued vector equilibrium problems

被引：0
作者：
Qilin Wang
Zhi Lin
Jing Zeng
Zaiyun Peng
Xiaobing Li
机构：
[1] Chongqing Jiaotong University,College of Sciences
[2] Chongqing Technology and Business University,College of Mathematics and Statistics
来源：
Journal of Inequalities and Applications | / 2014卷
关键词：
set-valued vector equilibrium problems; second-order composed contingent epiderivatives; weakly efficient solutions; second-order optimality conditions;
D O I：
暂无
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摘要：
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.
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