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If so, that's a pitiful memorial to the 3,000 who were slaughtered on Sept. 11, regardless of whatever is or isn't eventually built on the site of ground zero.
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"If somehow a democratic state is not eventually established in Syria, there will be a problem for all the region," said Abu Risha.
Case 2. Suppose that the sequence is not eventually decreasing.
This contradiction proves that x is not eventually positive.
Case 2. { s n } is not eventually decreasing.
Let be a positive solution of (1.1) which is not eventually equal to 1, then for.
If is not eventually increasing, then there exists some such that (3.6).
By using Lemma 5, we conclude that ∥ x n − z ∥ → 0. Case 2. ( s n ) is not eventually decreasing.
Applying Lemma 2.3 to (14), we get s n → 0. Case 2. Assume { s n } is not eventually decreasing.
We now carry on with the proof by considering the following two cases: (I) { ∥ x n − p ∥ } is eventually decreasing, and (II) { ∥ x n − p ∥ } is not eventually decreasing.
Applying Lemma 2.3 to (3.16), we obtain s n → 0. Case 2: ( s n ) is not eventually decreasing, that is, we can find an integer n 0 such that s n 0 ≤ s n 0 + 1.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com