# Real analysis

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(contraction mapping theorem).let f be a function defined on all of R and assume there is a constant c such that 0<c<1 and Absolute value of f(x)-f(y)<= c Absolute value of x-y for all x,y belong to R

show that f is continuous on R.

https://brainmass.com/math/real-analysis/proof-regarding-continuity-contraction-mapping-29173

#### Solution Summary

The solution provides proof regarding continuity and contraction mapping.

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