Stability of the fixed point property in Hilbert spaces

被引：11
|
作者：
Mazcuñán-Navarro, EM [1 ]
机构：
[1] Univ Valencia, Dept Anal Matemat, Valencia 46100, Spain
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2006年 / 134卷 / 01期
关键词：
D O I：
10.1090/S0002-9939-05-08344-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we prove that if X is a Banach space whose Banach-Mazur distance to a Hilbert space is less than root 5+root 17/2, then X has the fixed point property for nonexpansive mappings.
引用
收藏
页码：129 / 138
页数：10
相关论文
共 50 条
  • [41] THE FIXED POINT PROPERTY AND UNBOUNDED SETS IN BANACH SPACES
    Takahashi, Wataru
    Yao, Jen-Chih
    Kohsaka, Fumiaki
    [J]. TAIWANESE JOURNAL OF MATHEMATICS, 2010, 14 (02): : 733 - 742
  • [42] THE FIXED POINT PROPERTY OF THE CARTESIAN PRODUCT OF ROBERTS SPACES
    Nguyen Hoang Thanh
    [J]. FIXED POINT THEORY, 2012, 13 (01): : 267 - 272
  • [43] Cesaro function spaces fail the fixed point property
    Astashkin, Sergei V.
    Maligranda, Lech
    [J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2008, 136 (12) : 4289 - 4294
  • [44] On the fixed point property for orbital contractions in Banach spaces
    Najeh Redjel
    Abdelkader Dehici
    [J]. The Journal of Analysis, 2022, 30 : 621 - 635
  • [45] On the fixed point property for orbital contractions in Banach spaces
    Redjel, Najeh
    Dehici, Abdelkader
    [J]. JOURNAL OF ANALYSIS, 2022, 30 (02): : 621 - 635
  • [46] MULTIVALUED FIXED POINT RESULTS AND STABILITY OF FIXED POINT SETS IN METRIC SPACES
    Choudhury, Binayak S.
    Metiya, Nikhilesh
    Som, T.
    Bandyopadhyay, C.
    [J]. FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2015, 30 (04): : 501 - 512
  • [47] Split Common Null Point and Common Fixed Point Problems Between Banach Spaces and Hilbert Spaces
    Eslamian, M.
    Eskandani, G. Zamani
    Raeisi, M.
    [J]. MEDITERRANEAN JOURNAL OF MATHEMATICS, 2017, 14 (03)
  • [48] Split Common Null Point and Common Fixed Point Problems Between Banach Spaces and Hilbert Spaces
    M. Eslamian
    G. Zamani Eskandani
    M. Raeisi
    [J]. Mediterranean Journal of Mathematics, 2017, 14
  • [49] THE FIXED-POINT PROPERTY AND UNBOUNDED SETS IN HILBERT-SPACE
    RAY, WO
    [J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1980, 258 (02) : 531 - 537
  • [50] An Inertial Method for Split Common Fixed Point Problems in Hilbert Spaces
    Zhang, Haixia
    Cui, Huanhuan
    [J]. JOURNAL OF MATHEMATICS, 2021, 2021
12345