And, after they’ve tested it, tell them to test it again!
junio 4, 2010
A remarkable theoremof Basega (1959) […]: Consider a map where is an arbitrary set, and assume that has a unique fixed point, which is also the unique fixed point of for all . Then there is a metric on that makes a complete metric space and a contraction. One can even find metrics for which the Lipschitz constant of is arbitrarily small.
Wolfagang Walter, Ordinary Differential Equations, GTM 182 [RIM]