(b) Give an example of a function f: R-R that has a unique fixed 3. Some functions are not contractions, yet still have fixed points. (a) Any function /:R -R that has more than one fixed point cannot be a contraction. Give an example of such a function and justity Lie statement that it cannot be a contraction. a. point but is not a contraction. Justify your answrT

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Real Analysis 

(b) Give an example of a function f : R - R_ that has a unique fixed
tion mapping theorem?
3. Some functions are not contractions, yet still have fixed points.
(a) Any function /:R -R that has more than one fixed point camb
be a contraction. Give an example of such a function and justily ue
statement that it cannot be a contraction.
point but is not a contraction. Justify your answer.
4. Contractions and
Transcribed Image Text:(b) Give an example of a function f : R - R_ that has a unique fixed tion mapping theorem? 3. Some functions are not contractions, yet still have fixed points. (a) Any function /:R -R that has more than one fixed point camb be a contraction. Give an example of such a function and justily ue statement that it cannot be a contraction. point but is not a contraction. Justify your answer. 4. Contractions and
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