 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2022/ii/paper-4/12g/a/iii/solution

Codex  0 Created 2026-09-24 Updated 2026-09-25

The closed interval does have the fixed-point property. If

f (x, 0) = (F (x), 0)

, then

F (0) - 0 \geq 0

and

F (1) - 1 \leq 0

x \in [0, 1]

with

F (x) - x = 0

 New to topics? Read the docs here!