Let f:[a,b] --> R be continous on [a,b] and differentiable on (a,b). Suppose that abs( f'(x) ) is less than 1 for all x in (a,b). Prove that f has at most one fixed point.

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- Oct 25th 2009, 09:52 AMfriday616fixed points
Let f:[a,b] --> R be continous on [a,b] and differentiable on (a,b). Suppose that abs( f'(x) ) is less than 1 for all x in (a,b). Prove that f has at most one fixed point.

- Oct 25th 2009, 09:59 AMtonio