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 Studies in Mathematics
Hellenica World - Scientific Library
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