Concepedia

Contraction Mapping Principle

The Contraction Mapping Principle is a fixed-point theorem in functional analysis stating that a contraction mapping on a complete metric space has a unique fixed point, which can be found by iterative application of the mapping.

444

Publications

23.1K

Citations

784

Authors

452

Institutions

Publications per year

2017–2026

164

Variants

Banach Contraction PrincipleBanach Fixed-point Theorem

Parents

Publications

444

Contractive Mapping Theorems in Partially Ordered Sets and Applications to Ordinary Differential Equations

Juan J. Nieto, Rosana Rodríguez‐López · Order · 2005 · 1.3K citations

, , +13

Fixed points of a new type of contractive mappings in complete metric spaces

Dariusz Wardowski · Fixed Point Theory and Applications · 2012 · 903 citations · Full text

, , +13

A theorem on contraction mappings

A. Meir, Emmett B. Keeler · Journal of Mathematical Analysis and Applications · 1969 · 742 citations

, , +6

The contraction principle for mappings on a metric space with a graph

Jacek Jachymski · Proceedings of the American Mathematical Society · 2007 · 613 citations · Full text

, , +14

Multi-valued contraction mappings in generalized metric spaces

H. Covitz, Sam B. Nadler · Israel Journal of Mathematics · 1970 · 520 citations

, , +9

1–5 of 444

Authors

784

  1. SK
    Sotiris K. Ntouyas

    University of Ioannina, Greece

    14 publications · 291 citations

    12

    h-index

  2. BA
    Bashir Ahmad

    King Abdulaziz University, Saudi Arabia

    15 publications · 717 citations

    12

    h-index

  3. ZH
    Zhongsheng Hou

    Beijing Jiaotong University, China

    11 publications · 553 citations

    11

    h-index

  4. JJ
    Juan J. Nieto

    Universidade de Santiago de Compostela, Spain

    10 publications · 1.9K citations

    10

    h-index

  5. JT
    Jessada Tariboon

    King Mongkut's University of Technology North Bangkok, Thailand

    8 publications · 155 citations

    8

    h-index

1–5 of 784

Institutions

452

  1. King Abdulaziz University

    Jeddah, Saudi Arabia

    20 h-index

    59 publications

    1.8K citations

  2. University of Ioannina

    Ioannina, Greece

    12 h-index

    14 publications

    291 citations

  3. Qingdao University

    Qingdao, China

    11 h-index

    14 publications

    701 citations

  4. King Mongkut's University of Technology North Bangkok

    Bangkok, Thailand

    11 h-index

    19 publications

    373 citations

  5. Prince Sultan University

    Riyadh, Saudi Arabia

    11 h-index

    13 publications

    790 citations

  6. Çankaya University

    Ankara, Türkiye

    9 h-index

    11 publications

    457 citations

  7. China Medical University

    Taichung, Taiwan

    8 h-index

    9 publications

    242 citations

  8. Universidade de Santiago de Compostela

    Santiago de Compostela, Spain

    8 h-index

    11 publications

    3.2K citations

1–8 of 452

Venues

  1. Fixed Point Theory and Applications

    18 publications · 1.9K citations

    15

    h-index

  2. Advances in Difference Equations

    21 publications · 453 citations

    14

    h-index

  3. Proceedings of the American Mathematical Society

    PROC · 13 publications · 1.9K citations

    13

    h-index

  4. 11

    h-index

  5. Mathematical Methods in the Applied Sciences

    14 publications · 307 citations

    11

    h-index

1–5