Nonlinear Functional Analysis
Nonlinear functional analysis is a branch of mathematical analysis that deals with nonlinear Map (mathematics), 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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