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In the solution, all slacks (w i for inputs and s r for outputs) were zero, which means that RMF was not weakly efficient but efficient.
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Further, is not weakly compatible and hence not commuting.
Suppose (M_{2}) is not weakly exclusive to (X_{1}).
Suppose on the contrary that G is not weakly connected.
(ii) ⇒ (i): Suppose that G is not weakly connected.
But (f(x)) is not weakly invex since (f^{L}(x)) is not weakly differentiable at (x=0).
Simple C*-algebras are constructed for which the ordered K0-group is not weakly unperforated.
In particular this provides the first proof that this algebra is not weakly amenable.
Secondly, observe that is not weakly contractive, since any weakly contractive map is continuous.
The following examples show that there exist α-weakly Zamfirescu mappings which are not weakly Zamfirescu.
(iii) ⇒ (ii) Suppose, to the contrary, G is not weakly connected, that is, G ˜ is disconnected.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com