# Real Analysis : Contractiveness

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Prove that a function f is contractive on a set A if there exists a constant 0<s<1 such that Absolute value of f(x)-f(y)<=s*Absolute value of x-y for all x,y belong to A.show that if f is differentiable and f' is continous and satisfies Absolute value of f'(x)<1 on a closed interval then f is contractive on this set.

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Prove that a function f is contractive on a set A if there exists a constant 0<s<1 such that Absolute value of f(x)-f(y)<=s*Absolute value of x-y for all x,y belong to A.show that if f is differentiable ...

#### Solution Summary

Contractiveness is investigated for real analysis.

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