Using the conclusion of Theorem 2.1, we finish the proof of Theorem 2.2.
By using the conclusion of contraction mapping principle in Banach space, we complete our proof.
Here we used the conclusion of the first part of our proof and statement (b) of Proposition 7.2.
Using the conclusion of Theorem 4.1, we know that ω is also a weak-cluster point of ((T(x_{n}))).
From Cases 3.1 and 3.2, one can easily obtain that x h ≥ 0 for all t ∈ J. (4) Since − C ≤ h ≤ C, using the conclusion of (3), we have x h − C ≤ 0, x h + C ≥ 0, t ∈ J. .
Then the hypotheses of Lemma 3 are fulfilled with δ = p 4, t 0 = t * and using the conclusion of Lemma 3, there exists a finite time T* such that lim t → T * - Y ( t ) = 0, i.e., in this case some solutions blow up in finite time T*.
Using the conclusion of Theorem 4.1, we get limsup_{n rightarrow+infty}biglVert x_{n} - T z bigrVert = limsup_{n rightarrow +infty}biglVert T(x_{n}) - T z bigrVert leq k z) limsup_{n rightarrow+infty} Vert x_{n} - zVert, i.e., (tau(T z)) leq k z) tau z)).
However, the choices in the reported analyses represent some of the extremes of acquisition cost, so assuming a similar level of efficacy for these agents, these data suggest that whichever chemotherapy is used the conclusion of this analysis will hold.
Using the conclusions of recent strategic reviews, and in the light of the European research area concept, a framework for European research policy driven by co-ordination is proposed which combines the strengths of the existing schemes but sets them in the context of a broader European innovation policy.
