Explore BrainMass

# Real Analysis : Contractiveness

Not what you're looking for? Search our solutions OR ask your own Custom question.

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

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.

https://brainmass.com/math/real-analysis/real-analysis-contractiveness-30038

#### Solution Preview

Please see the attached file for the complete solution.
Thanks for using BrainMass.

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.

\$2.49