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集值映射的广义对称向量拟平衡问题
  • ISSN号：1007-6093
  • 期刊名称：《运筹学学报》
  • 时间：0
  • 分类：O177.91[理学—数学;理学—基础数学]
  • 作者机构：[1]重庆大学数理学院,重庆400044
  • 相关基金：＊This research was partially supported by the National Natural Science Foundation of China （Grant numbers： 60574073 and 10471142）.
作者： 张文燕[1], 陈纯荣[1], 李声杰[1]
关键词： 运筹学, 广义对称向量拟平衡问题, 非线性标量化函数, 锥-自然拟凸, 上半连续, 下半连续, Operation research, generalized symmetric vector quasi-equilibrium problem, nonlinear scalarization function, cone-naturally quasiconvex, upper semicontin- uous, lower semicontinuous
中文摘要：

本文提出了一类集值映射的广义对称向量拟平衡问题．利用非线性标量化函数，分别在局部凸Hausdorff拓扑向量空间和一般的Hausdorff拓扑向量空间中，证明了广义对称向量拟平衡问题解的存在性定理．

英文摘要：

In this paper, a generalized symmetric vector quasi-equilibrium problem is introduced, which is a generalization of a symmetric vector quasi-equilibrium problem of vectorvalued mappings. In virtue of a nonlinear scalarization function, some existence results of solutions for generalized symmetric vector quasi-equilibrium problem are established in locally convex Hausdorff topological vector space and Hausdorff topological vector space, respectively.

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期刊信息
  • 《运筹学学报》
  • 中国科技核心期刊
  • 主管单位:中国科学技术协会
  • 主办单位:中国运筹学会
  • 主编：胡旭东
  • 地址：上海市上大路99号上海大学期刊社
  • 邮编：200444
  • 邮箱：ort@mail.shu.edu.cn
  • 电话：021-66137605
  • 国际标准刊号：ISSN：1007-6093
  • 国内统一刊号：ISSN：31-1732/O1
  • 邮发代号:4-777
  • 获奖情况:
  • 国内外数据库收录:
  • 美国数学评论（网络版）,德国数学文摘,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（2011版）,中国北大核心期刊（2014版）
  • 被引量:1362