A THEOREM ON A FIXED POINT ON Lp SPACES

被引:7
|
作者
Bourdon, Marc [1 ]
机构
[1] Univ Lille 1, Dept Math, F-59655 Villeneuve Dascq, France
关键词
fixed point theorem; actions of groups on Banach spaces; DISCRETE-GROUP-ACTIONS; PROPERTY T; HARMONIC MAPS; RIGIDITY; KAZHDAN; CONSTANTS;
D O I
10.5565/PUBLMAT_56212_05
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We establish a fixed point theorem for group actions on L-p-spaces, which generalizes a theorem of Zuk and of Ballmann-Swiatkowski to the case p not equal 2.
引用
收藏
页码:375 / 392
页数:18
相关论文
共 50 条
  • [21] A fixed point theorem in locally convex spaces
    Kozlov, Vladimir
    Thim, Johan
    Turesson, Bengt Ove
    COLLECTANEA MATHEMATICA, 2010, 61 (02) : 223 - 239
  • [22] Caristi's Fixed Point Theorem and Subrahmanyam's Fixed Point Theorem in ν-Generalized Metric Spaces
    Alamri, Badriah
    Suzuki, Tomonari
    Khan, Liaqat Ali
    JOURNAL OF FUNCTION SPACES, 2015, 2015
  • [23] A FIXED POINT THEOREM FOR CORRESPONDENCES ON CONE METRIC SPACES
    Ge, Xun
    FIXED POINT THEORY, 2014, 15 (01): : 79 - 86
  • [24] Caristi Fixed Point Theorem in Metric Spaces with a Graph
    Alfuraidan, M. R.
    Khamsi, M. A.
    ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [25] COMMON FIXED-POINT THEOREM FOR NESTED SPACES
    SMITHSON, RE
    PACIFIC JOURNAL OF MATHEMATICS, 1979, 82 (02) : 533 - 537
  • [26] A Schauder fixed point theorem in semilinear spaces and applications
    Agarwal, Ravi P.
    Arshad, Sadia
    O'Regan, Donal
    Lupulescu, Vasile
    FIXED POINT THEORY AND APPLICATIONS, 2013,
  • [27] Vector ultrametric spaces and a fixed point theorem for correspondences
    Nourouzi, Kourosh
    INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2015, 7 (01): : 147 - 153
  • [28] Hemi metric spaces and Banach fixed point theorem
    Ozturk, Vildan
    Radenovic, Stojan
    APPLIED GENERAL TOPOLOGY, 2024, 25 (01): : 175 - 182
  • [29] A NEW FIXED POINT THEOREM IN MODULAR METRIC SPACES
    Mutlu, Ali
    Ozkan, Kubra
    Gurdal, Utku
    INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2018, 16 (04): : 472 - 483
  • [30] Fixed point theorem for α-nonexpansive mappings in Banach spaces
    Aoyama, Koji
    Kohsaka, Fumiaki
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (13) : 4387 - 4391