Nonlinear functional analysis
Nonlinear functional analysis is a branch of Mathematical Analysis. It deals with nonlinear mappings and 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 Lyusternik–Schnirelmann category theory
- methods of complex function theory
Notes
- ^ Schwartz, Jacob T. (1969). Non-Linear Functional Analysis. New York: Gordon & Breach Science Pub. ISBN 9780677015057.
See also
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