DIFFERENTIAL VARIATIONAL INEQUALITIES IN INFINITE BANACH SPACES

被引:4
|
作者
刘振海 [1 ]
曾生达 [1 ,2 ]
机构
[1] Guangxi Key Laboratory of Universities Optimization Control and Engineering Calculation,and College of Sciences,Guangxi University for Nationalities
[2] Institute of Computer Science,Faculty of Mathematics and Computer Science Jagiellonian
关键词
D O I
暂无
中图分类号
O177.2 [巴拿赫空间及其线性算子理论];
学科分类号
摘要
In this paper,we consider a new differential variational inequality(DVI,for short)which is composed of an evolution equation and a variational inequality in infinite Banach spaces.This kind of problems may be regarded as a special feedback control problem.Based on the Browder's theorem and the optimal control theory,we show the existence of solutions to the mentioned problem.
引用
收藏
页码:26 / 32
页数:7
相关论文
共 50 条
  • [21] On the index of solvability for variational inequalities in banach spaces
    Benedetti, Irene
    Obukhovskii, Valeri
    SET-VALUED ANALYSIS, 2008, 16 (01): : 67 - 92
  • [22] Strong vector variational inequalities in Banach spaces
    Fang, YP
    Huang, NJ
    APPLIED MATHEMATICS LETTERS, 2006, 19 (04) : 362 - 368
  • [23] Variational Like-Inequalities in Banach Spaces
    G. K. Panda
    N. Dash
    OPSEARCH, 1998, 35 (2) : 106 - 114
  • [24] On an iterative algorithm for variational inequalities in Banach spaces
    Yao, Yonghong
    Noor, Muhammad Aslam
    Noor, Khalida Inayat
    Liou, Yeong-Cheng
    MATHEMATICAL COMMUNICATIONS, 2011, 16 (01) : 95 - 104
  • [25] On the Index of Solvability for Variational Inequalities in Banach Spaces
    Irene Benedetti
    Valeri Obukhovskii
    Set-Valued Analysis, 2008, 16 : 67 - 92
  • [26] ON GENERAL SYSTEM OF VARIATIONAL INEQUALITIES IN BANACH SPACES
    Al-Mazrooei, A. E.
    Bin Dehaish, B. A.
    Latif, A.
    Yao, J. C.
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2015, 16 (04) : 639 - 658
  • [27] Existence theorems for variational inequalities in banach spaces
    Zeng, L. C.
    Yao, J. C.
    Giannessi, F.
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2007, 132 (02) : 321 - 337
  • [28] Generalized System of Variational Inequalities in Banach Spaces
    Bnouhachem, Abdellah
    Noor, Muhammad Aslam
    Khalfaoui, Mohamed
    Benazza, Hafida
    APPLIED MATHEMATICS & INFORMATION SCIENCES, 2014, 8 (03): : 985 - 991
  • [29] An existence principle for variational inequalities in Banach spaces
    Ariza-Ruiz, D.
    Garcia-Falset, J.
    Villada-Bedoya, J.
    REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2020, 114 (01)
  • [30] ROUTINE DIFFERENTIAL INEQUALITIES IN BANACH SPACES
    WALTER, W
    ARCHIV DER MATHEMATIK, 1969, 20 (01) : 36 - &