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ThmDex – An index of mathematical definitions, results, and conjectures.
Set of symbols
Alphabet
Deduction system
Theory
Zermelo-Fraenkel set theory
Set
Binary cartesian set product
Binary relation
Map
Operation
N-operation
Binary operation
Basic binary operation
Unsigned basic binary operation
Semimetric
Metric
Metric space
Lipschitz map
Definition D5465
Contraction
Formulation 0
Let MX=(X,dX) and MY=(Y,dY) each be a D1107: Metric space.
A D18: Map f:XY is a contraction from MX to MY if and only if C[0,1]:x,yX:dY(f(x),f(y))CdX(x,y)
Children
D50: Isometry
D49: Proper contraction