The Fundamental Continuity Theory of Optimization On a Compact Space I
The Fundamental Continuity Theory of Optimization On a Compact Space I
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) C C (X ) is a subbasic open set, and take any v c R such that a(v) e (B, , where W*^ = X \ W, is a nbd of v. In that case, {V(b) | b e B} is an open cover of B affording a finite subcover {V(b ) | i = 1, ... , m}, and it follows m _ that G = O is a nbd of v such that 1=1"" I a(G) c: (B, ), showing that a is continuous. To complete the proof, we turn to establish our claim above.
For each b e B, v attains a supremum s(b) = Sup v on {b} x w, and {b}xW (since W is compact) s^(b) = Sup v on {b ...lxw'^, Now, for all b e B, {blxw"" s^(b)
What to read after The Fundamental Continuity Theory of Optimization On a Compact Space I?
You can find similar books in the "Read Also" column, or choose other free books by Murat R Sertel to read online
To quickly assess the difficulty of the text, read a short excerpt:
For each b e B, v attains a supremum s(b) = Sup v on {b} x w, and {b}xW (since W is compact) s^(b) = Sup v on {b
What to read after The Fundamental Continuity Theory of Optimization On a Compact Space I?
You can find similar books in the "Read Also" column, or choose other free books by Murat R Sertel to read online
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