2. Consider the function f(z) = ( -3) on (0, 1]. (a) Prove that / for r, ye 0, 1], (b) Prove that / has no fixed point. (c) Why don't parts (a) and (b) of this problem contradict the contrac- tion mapping theorem?
2. Consider the function f(z) = ( -3) on (0, 1]. (a) Prove that / for r, ye 0, 1], (b) Prove that / has no fixed point. (c) Why don't parts (a) and (b) of this problem contradict the contrac- tion mapping theorem?
2. Consider the function f(z) = ( -3) on (0, 1]. (a) Prove that / for r, ye 0, 1], (b) Prove that / has no fixed point. (c) Why don't parts (a) and (b) of this problem contradict the contrac- tion mapping theorem?
Transcribed Image Text:2 Consider the function f(z) =(z - 3) on (0, 1].
(a) Prove that f for r, yE 0, 1],
If(x) – f(w)| Sl - yl-
(b) Prove that / has no fixed point.
(c) Why don't parts (a) and (b) of this problem contradict the contrac-
tion mapping theorem?
Branch of mathematical analysis that studies real numbers, sequences, and series of real numbers and real functions. The concepts of real analysis underpin calculus and its application to it. It also includes limits, convergence, continuity, and measure theory.
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![2 Consider the function f(z) =(z - 3) on (0, 1].
(a) Prove that f for r, yE 0, 1],
If(x) – f(w)| Sl - yl-
(b) Prove that / has no fixed point.
(c) Why don't parts (a) and (b) of this problem contradict the contrac-
tion mapping theorem?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F059f8a44-0099-41c0-92e3-ad75d014ebad%2F74877007-0d5b-4bb9-b87f-554657f81c50%2Fh9ia0og_processed.png&w=3840&q=75)
