Multiple recurrence theorems for set-valued maps

被引：3
|
作者：
Huang, Shu-Qi [1 ]
Liang, Hailan [2 ]
机构：
[1] Nankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China
[2] Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 350116, Fujian, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2017年 / 455卷 / 01期
关键词：
Multiple recurrence theorem; Set-valued map; INVARIANT-MEASURES; SZEMEREDI; SYSTEMS;
D O I：
10.1016/j.jmaa.2017.06.008
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we mainly extend the Khintchine's recurrence theorem, Furstenberg's multiple recurrence theorem, and multiple Birkhoff recurrence theorem from single-valued maps to set-valued maps. (C) 2017 Elsevier Inc. All rights reserved.
引用
收藏
页码：452 / 462
页数：11
相关论文
共 50 条
  • [1] Theorems of the Alternative and Optimization with Set-Valued Maps
    X. M. Yang
    X. Q. Yang
    G. Y. Chen
    [J]. Journal of Optimization Theory and Applications, 2000, 107 : 627 - 640
  • [2] ON INVERSE FUNCTION THEOREMS FOR SET-VALUED MAPS
    AUBIN, JP
    FRANKOWSKA, H
    [J]. JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 1987, 66 (01): : 71 - 89
  • [3] Theorems of the alternative and optimization with set-valued maps
    Yang, XM
    Yang, XQ
    Chen, GY
    [J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2000, 107 (03) : 627 - 640
  • [4] Some minimax theorems of set-valued maps and their applications
    Kuwano, Issei
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2014, 109 : 85 - 102
  • [5] Moreau–Rockafellar Theorems for Nonconvex Set-Valued Maps
    P. H. Sach
    [J]. Journal of Optimization Theory and Applications, 2007, 133 : 213 - 227
  • [6] FIXED POINT THEOREMS OF FUZZY SET-VALUED MAPS WITH APPLICATIONS
    Shagari, Mohammed Shehu
    Azam, Akbar
    [J]. PROBLEMY ANALIZA-ISSUES OF ANALYSIS, 2020, 9 (02): : 68 - 86
  • [7] Abstract convexity in KKM theorems via set-valued maps
    Fakhar, M.
    Lotfipour, M.
    Zafarani, J.
    [J]. OPTIMIZATION LETTERS, 2021, 15 (03) : 923 - 931
  • [8] Hahn-Banach theorems and subgradients of set-valued maps
    Jian Wen Peng
    Heung Wing Joseph Lee
    Wei Dong Rong
    Xin Min Yang
    [J]. Mathematical Methods of Operations Research, 2005, 61 : 281 - 297
  • [9] ON FIXED-POINT THEOREMS FOR RANDOM SET-VALUED MAPS
    LIU, DS
    CHENG, SZ
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1983, 7 (03) : 309 - 323
  • [10] Abstract convexity in KKM theorems via set-valued maps
    M. Fakhar
    M. Lotfipour
    J. Zafarani
    [J]. Optimization Letters, 2021, 15 : 923 - 931
12345