Fixed Points of Single- and Set-Valued Mappings in Uniformly Convex Metric Spaces with No Metric Convexity

被引：29
|
作者：
Espinola, Rafa [1 ]
Fernandez-Leon, Aurora [1 ]
Piatek, Bozena [2 ]
机构：
[1] Univ Seville, Dept Anal Matemat, E-41080 Seville, Spain
[2] Silesian Tech Univ, Inst Math, PL-44100 Gliwice, Poland
来源：
FIXED POINT THEORY AND APPLICATIONS | 2010年
关键词：
CONTRACTIONS;
D O I：
10.1155/2010/169837
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the existence of fixed points and convergence of iterates for asymptotic pointwise contractions in uniformly convex metric spaces. We also study the existence of fixed points for set-valued nonexpansive mappings in the same class of spaces. Our results do not assume convexity of the metric which makes a big difference when studying the existence of fixed points for set-valued mappings. Copyright (C) 2010 Rafa Espinola et al.
引用
收藏
页数：16
相关论文
共 50 条
  • [1] Fixed Points of Single- and Set-Valued Mappings in Uniformly Convex Metric Spaces with No Metric Convexity
    Rafa Espínola
    Aurora Fernández-León
    Bożena Piątek
    [J]. Fixed Point Theory and Applications, 2010
  • [2] FIXED POINTS OF SET-VALUED MAPPINGS IN RELATIONAL METRIC SPACES
    Prasad, Gopi
    Dimri, Ramesh Chandra
    Kukreti, Shivani
    [J]. JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS, 2021, 28 (03): : 253 - 266
  • [3] Common fixed points of set-valued mappings in hyperconvex metric spaces
    M. Balaj
    E. D. Jorquera
    M. A. Khamsi
    [J]. Journal of Fixed Point Theory and Applications, 2018, 20
  • [4] Common fixed points of set-valued mappings in hyperconvex metric spaces
    Balaj, M.
    Jorquera, E. D.
    Khamsi, M. A.
    [J]. JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2018, 20 (01)
  • [5] Existence of fuzzy fixed points of set-valued fuzzy mappings in metric and fuzzy metric spaces
    Kanwal, Shazia
    Ali, Asif
    Al Mazrooei, Abdullah
    Santos-Garcia, Gustavo
    [J]. AIMS MATHEMATICS, 2023, 8 (05): : 10095 - 10112
  • [6] Coincidence and Fixed Points of Set-Valued Mappings Via Regularity in Metric Spaces
    Nguyen Huu Tron
    [J]. Set-Valued and Variational Analysis, 2023, 31
  • [7] Fixed points of regular set-valued mappings in quasi-metric spaces
    Tron, Nguyen Huu
    Thera, Michel
    [J]. OPTIMIZATION, 2024,
  • [8] Coincidence and Fixed Points of Set-Valued Mappings Via Regularity in Metric Spaces
    Tron, Nguyen Huu
    [J]. SET-VALUED AND VARIATIONAL ANALYSIS, 2023, 31 (02)
  • [9] FIXED POINTS OF DISCONTINUOUS MAPPINGS IN UNIFORMLY CONVEX METRIC SPACES
    Shukri, Sami Atif
    Berinde, Vasile
    Khan, Abdul Rahim
    [J]. FIXED POINT THEORY, 2018, 19 (01): : 397 - 406
  • [10] Common Fixed Point Theorems of Single-valued and Set-valued Mappings in Complete,Convex Metric Spaces
    LIANG Jun-qi 1
    2.Shangqiu No.1 Middle School
    [J]. Chinese Quarterly Journal of Mathematics, 2003, (03) : 264 - 270
12345