Some recent results in metric fixed point theory

被引:0
|
作者
W. A. Kirk
机构
[1] University of Iowa,Department of Mathematics
关键词
Primary 05C12, 54H25, 47H09; Best approximation; fixed points; CAT(0) spaces; metric trees; hyperconvex spaces;
D O I
暂无
中图分类号
学科分类号
摘要
This is a survey of recent results on best approximation and fixed point theory in certain geodesic spaces. Some of these results are related to fundamental fixed point theorems in topology that have been known for many years. However the metric approach is emphasized here.
引用
收藏
页码:195 / 207
页数:12
相关论文
共 50 条
  • [21] Metric fixed point theory on hyperconvex spaces: recent progress
    Rafa Espínola
    Pepa Lorenzo
    Arabian Journal of Mathematics, 2012, 1 (4) : 439 - 463
  • [22] Metric fixed point theory on hyperconvex spaces: recent progress
    Espinola, Rafa
    Lorenzo, Pepa
    ARABIAN JOURNAL OF MATHEMATICS, 2012, 1 (04) : 439 - 463
  • [23] Some results in asymptotic fixed point theory
    Hale, Jack K.
    Lopes, Orlando
    JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2008, 4 (01) : 1 - 11
  • [24] SOME FIXED POINT RESULTS IN THE GENERALIZED CONVEX METRIC SPACES
    Dogan, Kadri
    Gursoy, Faik
    Karakaya, Vatan
    TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2020, 10 (01): : 11 - 23
  • [25] Some fixed point results on weak partial metric spaces
    Durmaz, Gonca
    Acar, Ozlem
    Altun, Ishak
    FILOMAT, 2013, 27 (02) : 317 - 326
  • [26] Some fixed point results on S-metric spaces
    Shahraki, Maryam
    Sedghi, Shaban
    Aleomraninejad, S. M. A.
    Mitrovic, Zoran D.
    ACTA UNIVERSITATIS SAPIENTIAE-MATHEMATICA, 2020, 12 (02) : 347 - 357
  • [27] Some Common Fixed Point Results in Rectangular Metric Spaces
    Arshad, Muhammad
    Ahmad, Jamshaid
    KarapJnar, Erdal
    INTERNATIONAL JOURNAL OF ANALYSIS, 2013,
  • [28] Some Fixed Point Results in a Strong Probabilistic Metric Spaces
    Karaklic, Danijela
    Gajic, Ljiljana
    Ralevic, Nebojsa M.
    FILOMAT, 2019, 33 (08) : 2201 - 2209
  • [29] Weak partial metric spaces and some fixed point results
    Altun, I.
    Durniaz, C.
    APPLIED GENERAL TOPOLOGY, 2012, 13 (02): : 179 - 191
  • [30] Some Common Fixed Point Results in Cone Metric Spaces
    Muhammad Arshad
    Akbar Azam
    Pasquale Vetro
    Fixed Point Theory and Applications, 2009