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A set-valued mapping is transfer compactly open valued on (see [17]) if for each and, there exists such that.
Let be transfer compactly open valued, then.
It is clear that each transfer open valued correspondence is transfer compactly open valued.
Since is a generalized -mapping, is transfer compactly open valued.
This proves that is transfer compactly open valued in.
Since is transfer compactly open valued in for each and, so that we claim that is transfer open valued in.
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The design variables are air flow rate, valve open values and the pressures at the test points.
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