Conic Set-Valued Maps in Vector Optimization

被引：0
|
作者：
Pedro Jiménez Guerra
Miguel Angel Melguizo
María J. Muñoz-Bouzo
机构：
[1] Facultad de Ciencias,Departamento de Matemáticas Fundamentales
[2] U.N.E.D.,Departamento de Matemática Aplicada
[3] Universidad de Alicante,undefined
来源：
Set-Valued Analysis | 2007年 / 15卷
关键词：
ideal point; conic set-valued map; vector programming; 90C48; 54C60;
D O I：
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中图分类号：
学科分类号：
摘要：
The paper deals with the properties of a conic set-valued function defined on the set of all ideal points of vector programming problems. The results here about the continuity and derivability of this conic set-valued map, can be used to get information about the sensitivity of the problem and the stability of the order associated to every ideal point. Furthermore, it is proved that certain contingent cones are determined by the ideal conic set-valued map.
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页码：47 / 59
页数：12
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