Concepedia

Fixed Point Stability

Fixed Point Stability is a theoretical construct in fixed point theory that characterizes the property of a fixed point to remain invariant under small perturbations of the associated mapping, thereby distinguishing it from unstable fixed points by ensuring convergence of iterative sequences in its neighborhood.

425

Publications

18.6K

Citations

633

Authors

413

Institutions

Publications per year

2017–2026

87

Parents

Publications

425

A Generalization of the Hyers-Ulam-Rassias Stability of Approximately Additive Mappings

P. Găvruţa · Journal of Mathematical Analysis and Applications · 1994 · 1.7K citations

, , +4

Solving Linear Rational Expectations Models

Christopher A. Sims · Computational Economics · 2002 · 1.1K citations

, , +13

THE FIXED POINT ALTERNATIVE AND THE STABILITY OF FUNCTIONAL EQUATIONS

Viorel Radu · 2003 · 400 citations

, , +12

ON THE STABILITY OF THE CAUCHY FUNCTIONAL EQUATION: A FIXED POINT APPROACH

Liviu Cădariu, Viorel Radu · 2004 · 297 citations

, , +14

Stability of <i>ψ</i>‐additive mappings: applications to nonlinear analysis

G. Isac, Themistocles M. Rassias · International Journal of Mathematics and Mathematical Sciences · 1994 · 287 citations · Full text

, , +13

1–5 of 425

Authors

633

  1. CP
    Choonkil Park

    Hanyang University, South Korea

    21 publications · 619 citations

    14

    h-index

  2. JM
    John Michael Rassias

    National and Kapodistrian University of Athens, Greece

    14 publications · 427 citations

    13

    h-index

  3. JB
    Janusz Brzdȩk

    Uniwersytet Komisji Edukacji Narodowej w Krakowie, Poland

    14 publications · 897 citations

    13

    h-index

  4. KC
    Krzysztof Ciepliński

    Uniwersytet Komisji Edukacji Narodowej w Krakowie, Poland

    14 publications · 854 citations

    13

    h-index

  5. ‎J
    ‎Soon-Mo Jung

    Hongik University, South Korea

    12 publications · 496 citations

    11

    h-index

1–5 of 633

Institutions

413

  1. Uniwersytet Komisji Edukacji Narodowej w Krakowie

    Krakow, Poland

    15 h-index

    30 publications

    1.8K citations

  2. Hanyang University

    Seoul, South Korea

    13 h-index

    18 publications

    604 citations

  3. China Medical University

    Taichung, Taiwan

    13 h-index

    15 publications

    354 citations

  4. National and Kapodistrian University of Athens

    Athens, Greece

    11 h-index

    15 publications

    589 citations

  5. AGH University of Krakow

    Krakow, Poland

    11 h-index

    16 publications

    410 citations

  6. Babeș-Bolyai University

    Cluj-Napoca, Romania

    11 h-index

    21 publications

    454 citations

  7. Islamic Azad University of Garmsar

    Garmsār, Iran

    10 h-index

    13 publications

    250 citations

  8. China Medical University Hospital

    Taichung, Taiwan

    9 h-index

    10 publications

    233 citations

1–8 of 413

Venues

  1. Journal of Mathematical Analysis and Applications

    27 publications · 3.1K citations

    20

    h-index

  2. Nonlinear Analysis

    18 publications · 895 citations

    14

    h-index

  3. Advances in Difference Equations

    15 publications · 429 citations

    13

    h-index

  4. Fixed Point Theory and Applications

    17 publications · 839 citations

    13

    h-index

  5. Abstract and Applied Analysis

    AAA · 14 publications · 634 citations

    12

    h-index

1–5