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nonlinear functional analysis : ウィキペディア英語版
nonlinear functional analysis

Nonlinear functional analysis is a branch of Mathematical Analysis that deals with nonlinear mappings.
==Topics==
Its subject matter includes:〔

* 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

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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