ART

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

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 also

Functional analysis

Notes

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

Undergraduate Texts in Mathematics

Graduate Texts in Mathematics

Graduate Studies in Mathematics

Mathematics Encyclopedia

World

Index

Hellenica World - Scientific Library

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