# Nonlinear functional analysis

(Redirected from Nonlinear analysis)

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

## TopicsEdit

Its subject matter includes:^{[1]}^{:1–2}

- 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 alsoEdit

## NotesEdit

**^**Schwartz, Jacob T. (1969).*Non-Linear Functional Analysis*. New York: Gordon & Breach Science Pub. ISBN 978-0-677-01505-7.