Mathematical Sciences Classification System

47Hxx - Nonlinear operators and their properties
{For global and geometric aspects, see 49J53, 58-XX, especially 58Cxx}

  • 8
    47H04
    Set-valued operators [See also 28B20, 54C60, 58C06]
  • 10
    47H05
    Monotone operators and generalizations
  • 6
    47H06
    Accretive operators, dissipative operators, etc.
  • 3
    47H07
    Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces
  • 4
    47H08
    Measures of noncompactness and condensing mappings, $K$-set contractions, etc.
  • 17
    47H09
    Contraction-type mappings, nonexpansive mappings, $A$-proper mappings, etc.
  • 50
    47H10
    Fixed-point theorems [See also 37C25, 54H25, 55M20, 58C30]
  • 8
    47H11
    Degree theory [See also 55M25, 58C30]
  • 47H14
    Perturbations of nonlinear operators [See also 47A55, 58J37, 70H09, 70K60, 81Q15]
  • 18
    47H20
    Semigroups of nonlinear operators [See also 37L05, 47J35, 54H15, 58D07]
  • 1
    47H25
    Nonlinear ergodic theorems [See also 28Dxx, 37Axx, 47A35]
  • 6
    47H30
    Particular nonlinear operators (superposition, Hammerstein, Nemytskiĭ, Uryson, etc.) [See also 45Gxx, 45P05]
  • 47H40
    Random operators [See also 47B80, 60H25]
  • 47H50
    Potential operators
  • 47H60
    Multilinear and polynomial operators [See also 46G25]
  • 47H99
    None of the above, but in this section

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