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Let (X, d) and (X, d') be a metric spaces such that there is NEN '(a, b) ≤ d(a, b) ≤ d'(a,b), (Va,b ≤ X). N Show that if (X, d') is a complete metric space, then (X, d) is also a complete metric space. 4. satisfying

Let (X, d) and (X, d') be a metric spaces such that there is NEN '(a, b) ≤ d(a, b) ≤ d'(a,b), (Va,b ≤ X). N Show that if (X, d') is a complete metric space, then (X, d) is also a complete metric space. 4. satisfying

Advanced Engineering Mathematics
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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4. satisfying Let (X, d) and (X, d') be a metric spaces such that there is NEN 1 ==ď' (a,b) ≤d(a,b) ≤ ď' (a,b), (va,b ≤ X). Show that if (X, d') is a complete metric space, then (X, d) is also a complete metric space.
Transcribed Image Text:4. satisfying Let (X, d) and (X, d') be a metric spaces such that there is NEN 1 ==ď' (a,b) ≤d(a,b) ≤ ď' (a,b), (va,b ≤ X). Show that if (X, d') is a complete metric space, then (X, d) is also a complete metric space.
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