Collectively Fixed Point Theory in the Compact and Coercive Cases

被引:3
作者
O'Regan, Donal [1 ]
机构
[1] Natl Univ Ireland, Sch Math & Stat Sci, Galway, Ireland
来源
ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA | 2022年 / 30卷 / 02期
关键词
Continuous selections; fixed point theory; analytic alternatives; minimax inequalities;
D O I
10.2478/auom-2022-0026
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We present collectively fixed point results for multivalued maps which automatically generate analytic alternatives and minimax inequalities. As an application we consider equilbrium type problems for generalized games.
引用
收藏
页码:193 / 207
页数:15
相关论文
共 11 条
  • [1] A Leray-Schauder alternative for weakly-strongly sequentially continuous weakly compact maps
    Agarwal, Ravi P.
    O'Regan, Donal
    Liu, Xinzhi
    [J]. FIIXED POINT THEORY AND APPLICATIONS, 2005, 2005 (01): : 1 - 10
  • [2] Agarwal RP, 2002, J KOREAN MATH SOC, V39, P579
  • [3] Aliprantis C., 1994, INFINITE DIMENSIONAL
  • [4] BENELMECHAIEKH H, 1982, CR ACAD SCI I-MATH, V295, P381
  • [5] Deguire P., 1995, TOPOL METHOD NONL AN, V5, P261
  • [6] A SELECTION THEOREM AND ITS APPLICATIONS
    DING, XP
    KIM, WK
    TAN, KK
    [J]. BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1992, 46 (02) : 205 - 212
  • [7] Engelking R., 1989, GEN TOPOLOGY
  • [8] Gorniewicz L., 1999, Topological Fixed Point Theory of Multivalued Mappings
  • [9] Remarks on fixed points, maximal elements, and equilibria of generalized games
    Lin, LJ
    Park, S
    Yu, ZT
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1999, 233 (02) : 581 - 596
  • [10] O'Regan D, 2002, NONLINEAR ANAL FORUM, V7, P167