Concepedia

Existence Of Fixed Points

Existence of Fixed Points is a theoretical construct in mathematical analysis and nonlinear dynamics that establishes the conditions under which a function admits at least one point that remains invariant under its mapping, thereby ensuring the presence of solutions to equations of the form \( f(x) = x \) within a specified domain.

3.2K

Publications

150K

Citations

2.8K

Authors

1.2K

Institutions

Publications per year

2017–2026

649

Parents

Publications

3.2K

A lattice-theoretical fixpoint theorem and its applications

Alfred Tarski · Pacific Journal of Mathematics · 1955 · 2.7K citations · Full text

, , +9

Multi-valued contraction mappings

Sam B. Nadler · Pacific Journal of Mathematics · 1969 · 2.3K citations · Full text

, , +6

Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces

Herbert Amann · SIAM Review · 1976 · 1.9K citations

, , +16

A fixed point theorem in partially ordered sets and some applications to matrix equations

André C. M. Ran, Martine Reurings · Proceedings of the American Mathematical Society · 2003 · 1.4K citations · Full text

, , +8

Fixed point theorems in partially ordered metric spaces and applications

T. Gnana Bhaskar, V. Lakshmikantham · Nonlinear Analysis · 2006 · 1.2K citations

, , +12

1–5 of 3.2K

Authors

2.8K

  1. EK
    Erdal Karapınar

    Atilim University, Türkiye

    148 publications · 6.6K citations

    45

    h-index

  2. BS
    Bessem Samet

    King Saud University, Saudi Arabia

    42 publications · 3.5K citations

    28

    h-index

  3. HA
    Hassen Aydi

    University of Sousse, Tunisia

    51 publications · 1.8K citations

    27

    h-index

  4. SR
    Stojan Radenović

    University of Belgrade, Serbia

    70 publications · 2.5K citations

    27

    h-index

  5. PK
    Poom Kumam

    King Mongkut's University of Technology Thonburi, Thailand

    62 publications · 2.6K citations

    27

    h-index

1–5 of 2.8K

Institutions

1.2K

  1. Atilim University

    Ankara, Türkiye

    41 h-index

    132 publications

    6.2K citations

  2. King Abdulaziz University

    Jeddah, Saudi Arabia

    39 h-index

    300 publications

    9.8K citations

  3. China Medical University

    Taichung, Taiwan

    33 h-index

    117 publications

    4.2K citations

  4. University of Belgrade

    Belgrade, Serbia

    29 h-index

    112 publications

    4.8K citations

  5. China Medical University Hospital

    Taichung, Taiwan

    29 h-index

    75 publications

    2.5K citations

  6. University of Palermo

    Palermo, Italy

    27 h-index

    66 publications

    4.8K citations

  7. King Mongkut's University of Technology Thonburi

    Bangkok, Thailand

    27 h-index

    102 publications

    4.3K citations

  8. King Saud University

    Riyadh, Saudi Arabia

    26 h-index

    75 publications

    3.1K citations

1–8 of 1.2K

Venues

  1. Fixed Point Theory and Applications

    284 publications · 13.1K citations

    56

    h-index

  2. Journal of Mathematical Analysis and Applications

    151 publications · 11.3K citations

    54

    h-index

  3. Nonlinear Analysis

    140 publications · 10.2K citations

    45

    h-index

  4. Proceedings of the American Mathematical Society

    PROC · 99 publications · 5.8K citations

    34

    h-index

  5. Fuzzy Sets and Systems

    40 publications · 3.7K citations

    29

    h-index

1–5