Nonlinear functional analysis

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

is a branch of 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

See also

Functional analysis

Notes

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