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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
Morse theory
and
Lusternik–Schnirelmann category
theory
methods
of
complex function theory