首页 | 本学科首页   官方微博 | 高级检索  
     

集值优化问题在Henig真有效解意义下的导数型最优性条件
引用本文:李文敏,高国荣,卢恩双,韩有攀. 集值优化问题在Henig真有效解意义下的导数型最优性条件[J]. 纯粹数学与应用数学, 2010, 26(4): 620-625. DOI: 10.3969/j.issn.1008-5513.2010.04.016
作者姓名:李文敏  高国荣  卢恩双  韩有攀
作者单位:西北农林科技大学理学院,陕西,杨凌,712100;西安交通大学理学院,陕西,西安,710049
基金项目:西北农林科技大学人才引进基金 
摘    要:给出实的赋范空间中集值映射的Henig真有效解集的一些性质,并利用集值映射的相依上图导数和集值映射的次微分给出了集值优化问题Henig真有效解的最优性条件的充要条件.

关 键 词:集值优化  Henig真有效解  最优性  相依上图导数

The derivative-type optimality condition of set-valued optimization problem under Henig proper efficient solution
LI Wen-min,GAO Guo-rong,LU En-shuang,HAN You-pan. The derivative-type optimality condition of set-valued optimization problem under Henig proper efficient solution[J]. Pure and Applied Mathematics, 2010, 26(4): 620-625. DOI: 10.3969/j.issn.1008-5513.2010.04.016
Authors:LI Wen-min  GAO Guo-rong  LU En-shuang  HAN You-pan
Affiliation:1.School of Sciences, Northwest Agriculture and Forestry University, Yangling 712100, China; 2.School of Sciences, Xi'an Jiaotong University, Xi'an 710049, China)
Abstract:In real normed space, some characterizations of Henig proper efficient solution set of set-valued map are given. Then, by the aid of contingent epiderivative and subdifferentials of set-valued maps, the sufficient and necessary conditions of Henig proper efficiency solution of set-valued optimization problem are established, respectively.
Keywords:set-valued optimization   Henig proper efficient solution   optimality   contingent epiderivative
本文献已被 CNKI 维普 万方数据 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号