Concepedia

Berge Maximum Theorem

The Berge Maximum Theorem is a fundamental result in mathematical economics and optimization theory that establishes the continuity of the optimal value function and the upper hemicontinuity of the maximizer correspondence under conditions of continuity of the objective function and compact-valuedness and continuity of the constraint correspondence.

16

Publications

547

Citations

24

Authors

21

Institutions

Publications per year

2017–2026

4

Variants

Berge's Maximum Theorem

Parents

Publications

16

Extremal Results for Berge Hypergraphs

Dániel Gerbner, Cory Palmer · SIAM Journal on Discrete Mathematics · 2017 · 97 citations

, , +9

Berge’s theorem for noncompact image sets

Eugene A. Feinberg, Pavlo O. Kasyanov, Nina V. Zadoianchuk · Journal of Mathematical Analysis and Applications · 2012 · 73 citations

, , +5

Some existence theorems of Nash and Berge Equilibria

Kokou Y. Abalo, Michael M. Kostreva · Applied Mathematics Letters · 2004 · 45 citations

, , +13

Generalized Quasi-Variational-Like Inequality Problem

Guoqiang Tian · Mathematics of Operations Research · 1993 · 43 citations

, , +12

Bergeʼs maximum theorem for noncompact image sets

Eugene A. Feinberg, Pavlo O. Kasyanov, Mark Voorneveld · Journal of Mathematical Analysis and Applications · 2013 · 38 citations

, , +8

1–5 of 16

Authors

24

  1. CP
    Cory Palmer

    Hungarian Academy of Sciences, Hungary

    3 publications · 138 citations

    3

    h-index

  2. MT
    Michael Tait

    Villanova University, United States

    2 publications · 41 citations

    2

    h-index

  3. EA
    Eugene A. Feinberg

    Stony Brook University, United States

    2 publications · 111 citations

    2

    h-index

  4. PO
    Pavlo O. Kasyanov

    National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”, Ukraine

    2 publications · 111 citations

    2

    h-index

  5. MM
    Michael M. Kostreva

    Clemson University, United States

    2 publications · 82 citations

    2

    h-index

1–5 of 24

Institutions

21

  1. Erskine College

    Due West, United States

    2 h-index

    2 publications

    82 citations

  2. Stony Brook University

    Stony Brook, United States

    2 h-index

    2 publications

    111 citations

  3. University of Montana

    Missoula, United States

    2 h-index

    2 publications

    120 citations

  4. National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”

    Kyiv, Ukraine

    2 h-index

    3 publications

    184 citations

  5. Hungarian Academy of Sciences

    Budapest, Hungary

    2 h-index

    2 publications

    109 citations

  6. State University of New York

    Albany, United States

    2 h-index

    2 publications

    111 citations

  7. Clemson University

    Clemson, United States

    2 h-index

    2 publications

    82 citations

  8. University of Liège

    Liège, Belgium

    1 h-index

    2 publications

    38 citations

1–8 of 21

Venues

  1. 2

    h-index

  2. Discrete Mathematics

    2 publications · 35 citations

    2

    h-index

  3. Applied Mathematics and Computation

    1 publications · 37 citations

    1

    h-index

  4. SIAM Journal on Discrete Mathematics

    1 publications · 97 citations

    1

    h-index

  5. Applied Mathematics Letters

    1 publications · 45 citations

    1

    h-index

1–5