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可分距离空间中Benson真有效点的标量化
  • ISSN号：1671-6841
  • 期刊名称：《郑州大学学报：理学版》
  • 时间：0
  • 分类：O177.3[理学—数学;理学—基础数学]
  • 作者机构：[1]苏州大学数学科学学院,江苏苏州215006
  • 相关基金：国家自然科学基金资助项目（10571035）
作者： 王璀[1]
关键词： 可分距离空间, 几乎次类凸集值映射, BENSON真有效性, 标量化, Lagrange乘数定理, 对偶性, separable metric spaces , nearly subconvexlike set-valued maps , Benson proper efficiency , scalarization , Lagrange multiplier theorem, duality
中文摘要：

在可分距离空间的框架下给出了Benson真有效点的标量化定理，再把此定理运用于几乎次类凸集值映射向量优化问题中，得到Benson真有效解的标量化定理、Lagrange乘数定理和对偶性定理．

英文摘要：

In the framework of separable metric spaces,we give scalarization theorems on Benson proper efficiency. Applying the results to vector optimization problems with nearly subconvexlike set-valued maps, we obtain scalarization theorems and Lagrange multiplier for Benson proper efficient solutions.

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期刊信息
  • 《郑州大学学报：理学版》
  • 中国科技核心期刊
  • 主管单位:河南省教育厅
  • 主办单位:郑州大学
  • 主编：李燕燕
  • 地址：郑州市高新区科学大道100号
  • 邮编：450001
  • 邮箱：lixueban@zzu.edu.cn
  • 电话：0371-67781272
  • 国际标准刊号：ISSN：1671-6841
  • 国内统一刊号：ISSN：41-1338/N
  • 邮发代号:36-191
  • 获奖情况:
  • 国内外数据库收录:
  • 美国化学文摘（网络版）,美国数学评论（网络版）,波兰哥白尼索引,德国数学文摘,中国中国科技核心期刊,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,英国英国皇家化学学会文摘
  • 被引量:2791