- #1
DeadxBunny
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Homework Statement
Show that the following function is contractive on the indicated intervals. Determine the best values of [lamda] in Equation (2).
abs(x)^(2/3) on abs(x) < or = 1/3
Homework Equations
A mapping (or function) F is said to be contractive if there exists a number [lamda] less than 1 such that:
(Equation (2))
abs(F(x)-F(y)) < or = [lamda]*abs(x-y)
for all points x and y in the domain F.
The Attempt at a Solution
I'm not really sure what to do with this one or how to get [lamda] in this case.