(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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

2. Relevant 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.

3. The attempt at a solution

I'm not really sure what to do with this one or how to get [lamda] in this case.

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# Homework Help: Show That a Function is Contractive?

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