Concepedia

Hyperconvex Spaces

Hyperconvex Space is a complete metric space in which any family of closed balls satisfying the pairwise intersection condition has a nonempty overall intersection, thereby generalizing the notion of injective metric spaces.

60

Publications

2.2K

Citations

72

Authors

64

Institutions

Publications per year

2017–2026

5

Parents

Publications

60

Extension of uniformly continuous transformations and hyperconvex metric spaces

N. Aronszajn, Prom Panitchpakdi · Pacific Journal of Mathematics · 1956 · 350 citations · Full text

, , +10

Proximinal Retracts and Best Proximity Pair Theorems

W. A. Kirk, Simeon Reich, P. Veeramani · Numerical Functional Analysis and Optimization · 2003 · 251 citations

, , +12

KKM and Ky Fan Theorems in Hyperconvex Metric Spaces

Mohamed A. Khamsi · Journal of Mathematical Analysis and Applications · 1996 · 94 citations

, , +6

Hyperconvexity and Bergman completeness

Zbigniew Błocki, Peter Pflug · Nagoya Mathematical Journal · 1998 · 78 citations · Full text

, , +4

Invariant approximations for commuting mappings in CAT(0) and hyperconvex spaces

Naseer Shahzad, J.T. Markin · Journal of Mathematical Analysis and Applications · 2007 · 62 citations

, , +6

1–5 of 60

Authors

72

  1. WA
    W. A. Kirk

    University of Iowa, United States

    6 publications · 432 citations

    6

    h-index

  2. MA
    Mohamed A. Khamsi

    The University of Texas at El Paso, United States

    6 publications · 265 citations

    6

    h-index

  3. GX
    George Xianzhi Yuan

    The University of Queensland, Australia

    4 publications · 112 citations

    4

    h-index

  4. JM
    J.T. Markin

    Ayatollah Boroujerdi University, Iran

    4 publications · 116 citations

    4

    h-index

  5. AS
    Andrés Sambarino

    Centre National de la Recherche Scientifique, France

    3 publications · 101 citations

    3

    h-index

1–5 of 72

Institutions

64

  1. The University of Texas at El Paso

    El Paso, United States

    6 h-index

    6 publications

    265 citations

  2. University of Iowa

    Iowa City, United States

    6 h-index

    6 publications

    432 citations

  3. The University of Queensland

    Brisbane, Australia

    4 h-index

    6 publications

    142 citations

  4. Jagiellonian University

    Krakow, Poland

    4 h-index

    4 publications

    140 citations

  5. University of Rhode Island

    Kingston, United States

    3 h-index

    4 publications

    95 citations

  6. Sorbonne Université

    Paris, France

    3 h-index

    4 publications

    149 citations

  7. Institut de Mathématiques de Jussieu-Paris Rive Gauche

    Paris, France

    3 h-index

    4 publications

    149 citations

  8. Nagoya University

    Nagoya, Japan

    2 h-index

    2 publications

    88 citations

1–8 of 64

Venues

  1. 8

    h-index

  2. Nonlinear Analysis

    5 publications · 169 citations

    5

    h-index

  3. Nagoya Mathematical Journal

    4 publications · 187 citations

    4

    h-index

  4. Proceedings of the American Mathematical Society

    PROC · 3 publications · 131 citations

    3

    h-index

  5. Annales Polonici Mathematici

    3 publications · 77 citations

    3

    h-index

1–5