Concepedia

Weak Continuity

Weak Continuity is a mathematical property in the context of functional analysis and partial differential equations, wherein a function or sequence is continuous with respect to the weak topology on a Banach or Hilbert space, meaning that convergence of arguments in the weak topology implies weak convergence of their images under the function.

641

Publications

29.3K

Citations

888

Authors

499

Institutions

Publications per year

2017–2026

54

Parents

Publications

641

Weak convergence theorems for nonexpansive mappings in Banach spaces

Simeon Reich · Journal of Mathematical Analysis and Applications · 1979 · 780 citations

, , +11

Strong convergence theorems for resolvents of accretive operators in Banach spaces

Simeon Reich · Journal of Mathematical Analysis and Applications · 1980 · 709 citations

, , +13

Some theorems on weakly contractive maps

Β. E. Rhoades · Nonlinear Analysis · 2001 · 665 citations

, , +4

Weak Convergence Theorems for Nonexpansive Mappings and Monotone Mappings

Wataru Takahashi, Masashi Toyoda · Journal of Optimization Theory and Applications · 2003 · 620 citations

, , +13

Microlocal defect measures

Patrick Gérard · Communications in Partial Differential Equations · 1991 · 521 citations

, , +11

1–5 of 641

Authors

888

  1. WT
    Wataru Takahashi

    Tokyo Institute of Technology, Japan

    16 publications · 2.1K citations

    13

    h-index

  2. TN
    Takashi Noiri

    National Institute of Technology, Kushiro College, Japan

    9 publications · 232 citations

    9

    h-index

  3. VZ
    Václav Zizler

    University of Alberta, Canada

    8 publications · 213 citations

    8

    h-index

  4. DO
    Donal O’Regan

    Ollscoil na Gaillimhe – University of Galway, Ireland

    7 publications · 158 citations

    7

    h-index

  5. EO
    Eve Oja

    University of Tartu, Estonia

    6 publications · 164 citations

    6

    h-index

1–5 of 888

Institutions

499

  1. Tokyo Institute of Technology

    Tokyo, Japan

    13 h-index

    21 publications

    3.9K citations

  2. Institute of Mathematics

    Warsaw, Poland

    11 h-index

    16 publications

    419 citations

  3. Sorbonne Université

    Paris, France

    9 h-index

    11 publications

    422 citations

  4. Ollscoil na Gaillimhe – University of Galway

    Galway, Ireland

    9 h-index

    11 publications

    256 citations

  5. Université Paris Cité

    Paris, France

    8 h-index

    9 publications

    809 citations

  6. Charles University

    Prague, Czechia

    8 h-index

    11 publications

    468 citations

  7. Universitat Politècnica de València

    Valencia, Spain

    8 h-index

    8 publications

    167 citations

  8. University of Alberta

    Edmonton, Canada

    8 h-index

    10 publications

    316 citations

1–8 of 499

Venues

  1. Journal of Mathematical Analysis and Applications

    48 publications · 4.1K citations

    23

    h-index

  2. Nonlinear Analysis

    27 publications · 2.2K citations

    20

    h-index

  3. Proceedings of the American Mathematical Society

    PROC · 40 publications · 1.1K citations

    19

    h-index

  4. Journal of Functional Analysis

    24 publications · 1.7K citations

    16

    h-index

  5. Transactions of the American Mathematical Society

    TRAN · 20 publications · 1.3K citations

    16

    h-index

1–5