47Hxx

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


  • 47H04 Set-valued operators [See also 28B20, 54C60, 58C06]
  • 47H05 Monotone operators (with respect to duality)and generalizations
  • 47H06 Accretive operators, dissipative operators, etc.
  • 47H07 Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces
  • 47H08 Measures of noncompactness and condensing mappings, $K$-set contractions, etc.
  • 47H09 Nonexpansive mappings, and their generalizations (ultimately compact mappings, measures of noncompactness and condensing mappings, $A$-proper mappings, $K$-set contractions, etc.)Contraction-type mappings, nonexpansive mappings, $A$-proper mappings, etc.
  • 47H10 Fixed-point theorems [See also 37C25, 54H25, 55M20, 58C30]
  • 47H11 Degree theory [See also 55M25, 58C30]
  • 47H14 Perturbations of nonlinear operators [See also 47A55, 58J37, 70H09, 70K60, 81Q15]
  • 47H20 Semigroups of nonlinear operators [See also 37L05, 47J35, 54H15, 58D07]
  • 47H25 Nonlinear ergodic theorems [See also 28Dxx, 37Axx, 47A35]
  • 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