47Hxx

{For global and geometric aspects, see 58-XX, especially 58Cxx}

47H04 Set-valued operators [See also 28B20, 54C60, 58C06]
47H05 Monotone operators (with respect to duality)
47H06 Accretive operators, dissipative operators, etc.
47H07 Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces
47H09 Nonexpansive mappings, and their generalizations (ultimately compact mappings, measures of noncompactness, $A$-proper mappings, $K$-set contractions, etc.)
47H10 Fixed-point theorems [See also 54H25, 55M20, 58C30]
47H11 Degree theory [See also 55M25, 58C30]
47H12 Spectral theory of nonlinear operators [See also 58C40]
47H15 Equations involving nonlinear operators [See also 58E07 for abstract bifurcation theory]
47H17 Methods for solving equations involving nonlinear operators [See also 58C15] {For numerical analysis, see 65J15}
47H19 Inequalities involving nonlinear operators [See also 49J27, 49J40, 49K27]
47H20 Semigroups of nonlinear operators and nonlinear evolution equations [See also 58D07]
47H30 Particular nonlinear operators (superposition, Hammerstein, Nemytski\u\i, Uryson, hysteresis operators, etc.) [See also 45P05]
47H40 Random operators [See also 60H25]
47H99 None of the above, but in this section