Concepedia

Variational Inequalities

Variational Inequalities is a mathematical framework in optimization theory that characterizes the problem of finding a vector in a given set such that the inner product of the vector difference with a prescribed function is nonnegative for all feasible vectors, generalizing variational principles and equilibrium problems.

7.8K

Publications

402.6K

Citations

7.7K

Authors

2.2K

Institutions

Publications per year

2017–2026

1.2K

Variants

Variational InequalityVi

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Publications

7.8K

Optimal approximations by piecewise smooth functions and associated variational problems

David Mumford, Jayant Shah · Communications on Pure and Applied Mathematics · 1989 · 5.2K citations · Full text

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Dual variational methods in critical point theory and applications

Antonio Ambrosetti, Paul H. Rabinowitz · Journal of Functional Analysis · 1973 · 4.4K citations

, , +14

An Introduction to Variational Methods for Graphical Models

Michael I. Jordan, Zoubin Ghahramani, Tommi Jaakkola et al. · Machine Learning · 1999 · 3.8K citations · Full text

, , +12

Affine Invariant Flows in the Beltrami Framework

Journal of Mathematical Imaging and Vision · 2004 · 3.3K citations

, , +10

Optimal Control of Systems Governed by Partial Differential Equations.

David L. Russell, J. L. Lions, Sanjoy K. Mitter · American Mathematical Monthly · 1972 · 3K citations

, , +16

1–5 of 7.8K

Authors

7.7K

  1. JY
    Jen‐Chih Yao

    National Sun Yat-sen University, Taiwan

    149 publications · 6.4K citations

    45

    h-index

  2. MA
    Muhammad Aslam Noor

    COMSATS University Islamabad, Pakistan

    161 publications · 7.2K citations

    42

    h-index

  3. NH
    Nan‐jing Huang

    Sichuan University, China

    93 publications · 3.6K citations

    34

    h-index

  4. QH
    Qamrul Hasan Ansari

    Aligarh Muslim University, India

    62 publications · 2.4K citations

    30

    h-index

  5. SM
    Stanisław Migórski

    Jagiellonian University, Poland

    61 publications · 2.8K citations

    30

    h-index

1–5 of 7.7K

Institutions

2.2K

  1. National Sun Yat-sen University

    Kaohsiung City, Taiwan

    44 h-index

    174 publications

    7.7K citations

  2. Centre National de la Recherche Scientifique

    Paris, France

    39 h-index

    175 publications

    8.9K citations

  3. Sichuan University

    Chengdu, China

    39 h-index

    207 publications

    8.1K citations

  4. Hong Kong Polytechnic University

    Hong Kong, Hong Kong

    35 h-index

    85 publications

    4.8K citations

  5. Université de Perpignan

    Perpignan, France

    34 h-index

    85 publications

    3.9K citations

  6. Gyeongsang National University

    Jinju-si, South Korea

    33 h-index

    98 publications

    3.7K citations

  7. Technion – Israel Institute of Technology

    Haifa, Israel

    32 h-index

    95 publications

    8.2K citations

  8. Laboratoire de Mathématiques Blaise Pascal

    Aubière, France

    32 h-index

    77 publications

    3K citations

1–8 of 2.2K

Venues

  1. Journal of Optimization Theory and Applications

    435 publications · 22K citations

    77

    h-index

  2. Journal of Mathematical Analysis and Applications

    500 publications · 25.2K citations

    70

    h-index

  3. Mathematical Programming

    140 publications · 17K citations

    62

    h-index

  4. Nonlinear Analysis

    406 publications · 16.4K citations

    61

    h-index

  5. SIAM Journal on Optimization

    106 publications · 8.3K citations

    50

    h-index

1–5