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Existence and stability of solutions to inverse variational inequality problems
  • ISSN号:0253-4827
  • 期刊名称:《应用数学和力学:英文版》
  • 时间:0
  • 分类:O24[理学—计算数学;理学—数学] O177[理学—数学;理学—基础数学]
  • 作者机构:[1]Department of Mathematics, Sichuan University, Chengdu 610064, China, [2]School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu 611731, China
  • 相关基金:Project supported by the National Natural Science Foundation of China (No. 11671282), the Joint Foundation of the Ministry of Education of China and China Mobile Communication Corporation (No. MCM20150505), the China Postdoctoral Science Foundation (No. 2015T80967), the Applied Basic Project of Sichuan Province (No. 2016JY0170), the Open Foundation of State Key Laboratory of Electronic Thin Films and Integrated Devices (No. KFJJ201611), the Key Program of Education Department of Sichuan Province (No. 16ZA0007), and the Fundamental Research Funds for the Central Universities (No. ZYGX2015J098)
中文摘要:

在里面这纸,问题用 Fan-Knaster-Kuratowski-Mazurkiewicz (KKM ) 被证明的变化的逆和伪变化的不平等的答案的二条新存在定理定理和 Kakutani-Fan-Glicksberg 修理了点定理。上面的 semicontinuity 和问题也是的印射的答案和印射变化不平等到参量的逆的近似答案的更低的 semicontinuity 在一些合适的条件下面讨论了。到一个道路定价问题的应用被给。

英文摘要:

In this paper, two new existence and quasi-variational inequality problems are theorems of solutions to inverse variational proved using the Fan-Knaster-Kuratowski- Mazurkiewicz (KKM) theorem and the Kakutani-Fan-Glicksberg fixed point theorem. Upper semicontinuity and lower semicontinuity of the solution mapping and the approximate solution mapping to the parametric inverse variational inequality problem are also discussed under some suitable conditions. An application to a road pricing problem is given.

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期刊信息
  • 《应用数学和力学:英文版》
  • 主管单位:交通部
  • 主办单位:上海大学
  • 主编:周哲玮
  • 地址:上海市宝山区上大路99号上海大学122信箱
  • 邮编:200444
  • 邮箱:amm@department.shu.edu.cn
  • 电话:021-66135219 66165601
  • 国际标准刊号:ISSN:0253-4827
  • 国内统一刊号:ISSN:31-1650/O1
  • 邮发代号:
  • 获奖情况:
  • 上海市优秀科技期刊一等奖,中国期刊方阵“双效”期刊
  • 国内外数据库收录:
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  • 被引量:541