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

被引：0

作者：

Laghdir, Mohamed ^{[1
]}

Echchaabaoui, El Mahjoub. ^{[1
]}

机构：

[1] Fac Sci, Dept Math, BP 20, El Jadida, Morocco

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2023年 / 198卷 / 03期

关键词：

Set-valued convex mappings; Pareto subdifferential; Pareto efficiency; Set optimization; OPTIMIZATION PROBLEMS; VECTOR MAPPINGS; CALCULUS; OPTIMALITY; QUALIFICATION;

D O I：

10.1007/s10957-023-02255-8

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

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：20

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