Concepedia

Proximal Mappings

Proximal Mappings is a mathematical operator in convex analysis that assigns to each point in a Hilbert space the unique minimizer of the sum of a convex function and a quadratic regularization term centered at that point.

280

Publications

16.3K

Citations

488

Authors

301

Institutions

Publications per year

2017–2026

83

Variants

Proximal MappingProximal OperatorProximal Operators

Parents

Publications

280

Iterative Algorithms for Nonlinear Operators

Hong‐Kun Xu · Journal of the London Mathematical Society · 2002 · 1.7K citations

, , +14

ISTA-Net: Interpretable Optimization-Inspired Deep Network for Image Compressive Sensing

Jian Zhang, Bernard Ghanem · 2018 · 1.3K citations

, , +15

Strong Convergence of a Proximal-Type Algorithm in a Banach Space

Shoji Kamimura, Wataru Takahashi · SIAM Journal on Optimization · 2002 · 654 citations

, , +14

A proximal-based decomposition method for convex minimization problems

Gong Chen, Marc Teboulle · Mathematical Programming · 1994 · 406 citations

, , +11

Forcing strong convergence of proximal point iterations in a Hilbert space

M. V. Solodov, B. F. Svaiter · Mathematical Programming · 2000 · 337 citations

, , +12

1–5 of 280

Authors

488

  1. PK
    Poom Kumam

    King Mongkut's University of Technology Thonburi, Thailand

    8 publications · 207 citations

    8

    h-index

  2. JY
    Jen‐Chih Yao

    National Sun Yat-sen University, Taiwan

    8 publications · 223 citations

    8

    h-index

  3. LT
    Lionel Thibault

    Université de Montpellier, France

    7 publications · 329 citations

    7

    h-index

  4. EK
    Erdal Karapınar

    Atilim University, Türkiye

    6 publications · 127 citations

    6

    h-index

  5. AN
    Alfredo N. Iusem

    Instituto Nacional de Matemática Pura e Aplicada, Brazil

    6 publications · 391 citations

    6

    h-index

1–5 of 488

Institutions

301

  1. Instituto Nacional de Matemática Pura e Aplicada

    Rio de Janeiro, Brazil

    12 h-index

    18 publications

    1.6K citations

  2. King Abdulaziz University

    Jeddah, Saudi Arabia

    10 h-index

    17 publications

    324 citations

  3. Centre National de la Recherche Scientifique

    Paris, France

    9 h-index

    14 publications

    781 citations

  4. King Mongkut's University of Technology Thonburi

    Bangkok, Thailand

    8 h-index

    15 publications

    404 citations

  5. Universidade Federal do Rio de Janeiro

    Rio de Janeiro, Brazil

    8 h-index

    13 publications

    335 citations

  6. Gyeongsang National University

    Jinju-si, South Korea

    8 h-index

    10 publications

    372 citations

  7. National Sun Yat-sen University

    Kaohsiung City, Taiwan

    8 h-index

    8 publications

    225 citations

  8. Université de Montpellier

    Montpellier, France

    7 h-index

    11 publications

    565 citations

1–8 of 301

Venues

  1. SIAM Journal on Optimization

    19 publications · 2K citations

    17

    h-index

  2. Journal of Optimization Theory and Applications

    18 publications · 435 citations

    15

    h-index

  3. Mathematical Programming

    12 publications · 1.8K citations

    12

    h-index

  4. Nonlinear Analysis

    14 publications · 286 citations

    11

    h-index

  5. 11

    h-index

1–5