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.
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页码：1226 / 1245
页数：20
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