Conic set-valued maps in vector optimization

作     者：Jimenez Guerra, Pedro Angel Melguizo, Miguel Munoz-Bouzo, Maria J. 

作者机构：Univ Autonoma Madrid Fac Ciencias Dept Matemat Fundamentales UNED Madrid 28040 Spain Univ Alicante Dept Matemat Aplicada Alicante 03690 Spain 

出 版 物：《SET-VALUED ANALYSIS》 (集值分析)

年 卷 期：2007年第15卷第1期

页      面：47-59页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Ministerio de Ciencia y Tecnología  MICYT 

主　　题：ideal point conic set-valued map vector programming 

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.