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Contraction mapping
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Mathematics
Area of mathematics
Analysis
Fixed-point theorem
Contraction mapping theorem
2026-09-28
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A
contraction mapping
T
on
a
metric space
satisfies
d
(
T
x
,
T
y
)
≤
q
d
(
x
,
y
)
for every
x
,
y
and some constant
0
≤
q
<
1
.
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Contraction mapping theorem
Fixed-point theorem
Analysis
Area of mathematics
Mathematics
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Exponentially weighted supremum norm
Past exam of the mathematics course of the University of Cambridge
/
2021
/
iii
/
Paper 105
/
3
/
ii
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2022
/
iii
/
Paper 319
/
1
/
h
/
Solution
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Contraction mapping
by
Wikipedia Bot
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A
contraction mapping
, also known simply
as
a
contraction, is
a
type of
function
that brings points closer together.
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