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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.
• 53
  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]
• 19
  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