Nonlinear functional analysis: Difference between revisions

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'''Nonlinear functional analysis''' is a branch of [[mathematical analysis]]. It deals with [[nonlinear]] [[Map (mathematics)|mapping]]s and its subject matter includes:<ref>

#REDIRECT[[Category:Nonlinear functional analysis]]

{{cite book | last = Schwartz | first = Jacob T. | authorlink = Jack Schwartz | title = Non-Linear Functional Analysis | publisher = Gordon & Breach Science Pub | ___location = New York | year = 1969 | isbn = 9780677015057 }}

</ref>{{Rp|1–2}}

* generalizations of [[calculus]] to [[Banach space]]s

* [[implicit function theorem]]s

* 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==

<references />

==See also==

* [[Functional analysis]]

{{Mathanalysis-stub}}

#REDIRECT[[Category:Nonlinear functional analysis]]