Nonlinear functional analysis

Nonlinear functional analysis is a branch of mathematical analysis that deals with nonlinear mappings.

Topics Its subject matter includes:

generalizations of calculus to Banach spaces implicit function theorems fixed-point theorems (Brouwer fixed point theorem, Fixed point theorems in infinite-dimensional spaces, topological degree theory, Jordan separation theorem, Lefschetz fixed-point theorem) Morse theory and Lusternik–Schnirelmann category theory methods of complex function theory

See also Functional analysis

Notes