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广义扰动映射的上导数
  • ISSN号：1009-1327
  • 期刊名称：《应用泛函分析学报》
  • 时间：0
  • 分类：O224[理学—运筹学与控制论;理学—数学]
  • 作者机构：[1]重庆大学数理学院信息与计算科学系,重庆400044
  • 相关基金：国家自然科学基金（10871216,60574073）;重庆市自然基金（2007BB6117）
作者： 薛小维[1], 李声杰[1]
关键词： 集值映射, 法锥, 上导数, 广义扰动映射, set-valued maps, normal cone, coderivative, generalized perturbation map
中文摘要：

主要讨论了两集值映射和的上导数．在比标准约束品性弱的条件下得到了两个集值映射和的上导数与两集值映射上导数的和之间的包含关系，并将此结论用于讨论广义扰动映射的上导数，得到广义扰动映射的上导数的上界估计．

英文摘要：

The coderivatives of the sums of two set-valued maps are discussed. Under some mild conditions which are weaker than the normal constraint qualification, the inclusion relations between coderivatives of the sum for two set-valued maps and the sum of coderivatives of two setvalued maps are obtained. By using the calculus rules, the upper estimate for coderivatives of generalized perturbation maps are obtaind.

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期刊信息
  • 《应用泛函分析学报》
  • 主管单位:中国核工业集团公司
  • 主办单位:中国原子能科学研究院 中国科学院数学与系统科学研究院
  • 主编：阳名珠
  • 地址：北京市海淀区中关村东路55号思源楼c506
  • 邮编：100190
  • 邮箱：journal@amss.ac.cn
  • 电话：010-82541407
  • 国际标准刊号：ISSN：1009-1327
  • 国内统一刊号：ISSN：11-4016/TL
  • 邮发代号:
  • 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
  • 被引量:880