Share
Explore BrainMass

If f is a function from R to R, and there exists a real number aE(0,1) such that |f'(x)|≤a for all xER , show that the equation x = f(x) has a solution.

If f is a function from R to R, and there exists a real number aE(0,1) such that |f'(x)|≤a for all xER , show that the equation x = f(x) has a solution.

Attachments

Solution Summary

A real analysis proof is provided. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

$2.19