Sequential Pareto Subdifferential Sum Rule for Convex Set-Valued Mappings and Applications

被引：0

作者：

Mohamed Laghdir

El Mahjoub. Echchaabaoui

机构：

[1] Faculty of Sciences,Department of Mathematics

来源：

Journal of Optimization Theory and Applications | 2023年 / 198卷

关键词：

Set-valued convex mappings; Pareto subdifferential; Pareto efficiency; Set optimization; 90C25; 90C29; 90C46; 90C48;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The aim of this paper is to provide a general description of the Pareto subdifferential (weak and proper) of the sum of two cone-convex set-valued mappings in terms of sequences without any constraint qualifications. As an application, we derive sequential Lagrange multipliers optimality conditions for general set-valued optimization problem in terms of sequential Lagrange multipliers at nearby points for the Pareto efficient solutions, where no constraint qualification is assumed.

引用

页码：1226 / 1245

页数：19

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