New Notions of Proper Efficiency in Set Optimization with the Set Criterion

被引：0
|
作者：
L. Huerga
B. Jiménez
V. Novo
机构：
[1] Universidad Nacional de Educación a Distancia (UNED),Departamento de Matemática Aplicada, E.T.S.I. Industriales
来源：
Journal of Optimization Theory and Applications | 2022年 / 195卷
关键词：
Set optimization; Set criterion of solution; Vector criterion of solution; Henig proper efficiency; Lagrange multipliers; 06A75; 49J53; 90C29;
D O I：
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中图分类号：
学科分类号：
摘要：
In this paper, we introduce new notions of proper efficiency in the sense of Henig for a set optimization problem by using the set criterion of solution. The relationships between them are studied. Also, we compare these concepts with the homologous ones given by considering the vector criterion. Finally, a Lagrange multiplier rule for Henig proper solutions of a set optimization problem with a cone constraint is obtained under convexity hypotheses. Illustrative examples are also given.
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页码：878 / 902
页数：24
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