Samiksha Jaiswal (Editor)

Nonlinear functional analysis

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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

    • References

    Nonlinear functional analysis Wikipedia
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