The function is g(x) = (1/2)*(e^(-x)) x is R
Thank you!!!!
My definition is that a function is a contraction if there is a real number c, $\displaystyle 0\le{c}<1$ such that $\displaystyle |g(x)-g(y)|\le{c}|x-y|$ for all $\displaystyle x,y\in\mathbb{R}$ where $\displaystyle g(x)$ and $\displaystyle g(y)$ are defined. Just so that you can put my post in context - if you're using a different definition, my post might not make sense.
- Hollywood