Let (x,d) and (X, d') be a metric that there is NE IN satisfying spaces such ta' (a,b) ≤ d (a,b) ≤d' (a,b), (va, b€ X). show that if (X, d') is a complete metric space, then (X,d) is also a complete metric space.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let (X,d) and (X, d'
that there is NEIN satisfying
be
a metric
spaces such
#d' (a,b) ≤ d (a,b) ≤d' (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:Let (X,d) and (X, d' that there is NEIN satisfying be a metric spaces such #d' (a,b) ≤ d (a,b) ≤d' (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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