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带有q距离的广义Ekeland变分原理的应用
  • ISSN号：1672-6693
  • 期刊名称：《重庆师范大学学报：自然科学版》
  • 时间：0
  • 分类：O223[理学—运筹学与控制论;理学—数学]
  • 作者机构：[1]内蒙古大学数学科学学院,内蒙古010021, [2]重庆师范大学数学学院,重庆400047
  • 相关基金：SupPorted by the National Natural Science Foundation of China （10831009）, the Natural Science Foundation Project of Chongqing （2011BA0030）, the Special Fund of Chongqing Key Laboratory and the Education Committee Research Foundation of Chongqing （KJl10625）.
作者： 陈娇[1]
关键词： 多目标优化, η-伪线性, 有效解, 真有效解, multiobjective optimization, η-pseudolinearity, efficient solution, properly efficient solution
中文摘要：

研究了一类带不等式约束的多目标优化问题，给出了该类问题的有效解的一些充分必要条件，在适当条件下利用线性标量化方法证明了其有效解与真有效解的等价性．主要结论是对最近一些文献中相应结果的改进与推广．

英文摘要：

In this paper, a class of multiobjective optimization problems in which involved inequality constraints is considered. The necessary and sufficient conditions are established for an efficient solution. Moreover, the equivalence is proved between efficiency and properly efficiency by linear scalaxization method under some suitable conditions. Our results improve and extend some previously known results .

同期刊论文项目
多目标优化理论与方法
期刊论文 84 获奖 1
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期刊信息
  • 《重庆师范大学学报：自然科学版》
  • 北大核心期刊（2011版）
  • 主管单位:重庆市教育委员会
  • 主办单位:重庆师范大学
  • 主编：杨新民
  • 地址：重庆市沙坪坝区
  • 邮编：400047
  • 邮箱：cqnuj@cqnu.edu.cn
  • 电话：023-65362431
  • 国际标准刊号：ISSN：1672-6693
  • 国内统一刊号：ISSN：50-1165/N
  • 邮发代号:78-34
  • 获奖情况:
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  • 被引量:4584