1.2. Let X, d be a complete metric space, f: X→ X a function satisfying d(f(x1), f(xo)) ≤ Ld(x1, xo) for all xo, 1 EX for some L< 1. Show that there is x EX such that f(x) = x.
1.2. Let X, d be a complete metric space, f: X→ X a function satisfying d(f(x1), f(xo)) ≤ Ld(x1, xo) for all xo, 1 EX for some L< 1. Show that there is x EX such that f(x) = x.
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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