Pareto epsilon-subdifferential sum rule for set-valued mappings and applications to set optimization

被引：0
|
作者：
El Mahjoub Echchaabaoui
Mohamed Laghdir
机构：
[1] Faculty of Sciences,Department of Mathematics
来源：
Rendiconti del Circolo Matematico di Palermo Series 2 | 2023年 / 72卷
关键词：
Set-valued vector optimization; Approximate Pareto efficiency; Convex ; -subdifferentials of set-valued; Optimality conditions; Scalarization; Regular subdifferentiability; 90C26; 90C29; 90C46; 90C48;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we are mainly concerned with a rule for efficient (Pareto) approximate subdifferential, concerning the sum of two cone-convex set-valued vector mappings, taking values in finite or infinite-dimensional preordred spaces. The obtained formula is exact and holds under the connectedness or Attouch-Brézis qualification conditions and the regular subdifferentiability. This formula is applied to establish approximate necessary and sufficient optimality conditions for the existence of the approximate Pareto (weak or proper) efficient solutions of a set-valued vector optimization problem.
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页码：3415 / 3437
页数：22
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