(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
(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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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