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含参集值弱向量平衡问题解集映射的半连续性
  • ISSN号：0583-1431
  • 期刊名称：《数学学报》
  • 时间：0
  • 分类：O221.6[理学—运筹学与控制论;理学—数学]
  • 作者机构：重庆师范大学数学科学学院,重庆401331
  • 相关基金：国家自然科学基金重点项目（11431004）,国家自然科学基金项目（11301574,11271391）,重庆市基础与前沿研究计划项目（cstc2015jcyjAD0027）,重庆市教委科学技术研究项目（KJ1500303）,第二批重庆市高等学校青年骨干教师资助计划项目,重庆市研究生科研创新项目（CYS15154）资助.
作者： 彭再云[1,2], 杨新民[3], 赵勇[3]
关键词： 凸锥, 拟内部, 相对代数内部, 非凸分离定理, 向量优化, convex cone, quasi interior, relative algebraic interior, nonconvex separation theorems, vector optimization
中文摘要：

在集合的拟内部和相对代数内部非空的条件下给出了凸锥的—个广义内部性质，证明了凸锥的拟内部和相对代数内部的一致性，进而建立了基于凸锥的拟内部和相对代数内部的非凸分离定理．此外，也给出了一些具体例子对主要结果进行了解释．

英文摘要：

A generalized interior characterization of convex cone is given based on the nonemptiness of the quasi interior and relative algebraic interior for sets, consistency of the quasi interior and relative algebraic interior is proved for a convex cone, and further non- convex separation theorems are established via quasi interior and relative algebraic interior for a convex cone. Moreover, some concrete examples are also presented to illustrate the main results.

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期刊信息
  • 《数学学报》
  • 北大核心期刊（2011版）
  • 主管单位:中国科学院
  • 主办单位:中国科学院数学与系统科学研究院数学研究院
  • 主编：李炳仁
  • 地址：北京市海淀区中关村东路55号
  • 邮编：100080
  • 邮箱：Actamath@amss.ac.cn
  • 电话：010-62551910
  • 国际标准刊号：ISSN：0583-1431
  • 国内统一刊号：ISSN：11-2038/O1
  • 邮发代号:2-502
  • 获奖情况:
  • 1996年中科院优秀科技期刊二等奖,1997年全国优秀科技期刊二等奖,2000年中科院优秀科技期刊二等奖
  • 国内外数据库收录:
  • 美国数学评论（网络版）,德国数学文摘,荷兰文摘与引文数据库,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,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）,中国北大核心期刊（2000版）
  • 被引量:9981