Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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3
Theorem I1.6
Nearest Point Theerem
Let F be a
Then 3
non-empty closed subset of R. Let xeR\F.
Cat least one) yE F with
Uy -xU = mf { Us -xH : zeF}
%3D
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Transcribed Image Text:Theorem I1.6 Nearest Point Theerem Let F be a Then 3 non-empty closed subset of R. Let xeR\F. Cat least one) yE F with Uy -xU = mf { Us -xH : zeF} %3D
Question 3
Let F be a non-empty closed subset of R and r¢ F. The nearest point
theorem (11.6) tells us that there is a point in F closest to z. Is it always
unique?
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Transcribed Image Text:Question 3 Let F be a non-empty closed subset of R and r¢ F. The nearest point theorem (11.6) tells us that there is a point in F closest to z. Is it always unique?
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