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In order to treat the situation that T t, ε) is not a contraction operator (but it becomes eventually contracting), we construct some auxiliary operator and show that it is contracting.
Furthermore, we notice that (a) the operator A generates a C0-semigroup T t,ε), which is not a contraction operator, but it becomes eventually contracting, that is ||T(Nρ, ε)|| ≤ k < 1 for some integer N with Nρ < t0 and all ε ∈ P (see Section 5 for details); (b) the existing results on differentiability with respect to parameters of non-analytic C0-semigroup are not on the entire space [3].
It is not a contraction of until and should not be written 'till".
T is not a contraction map.
However, is not a contraction with respect to any -distance.
end{aligned} (iv) T is not a contraction map.
Similar(19)
Consider putting a comma on either side of this appositive.I'm not sure how to take this advice.Grammarly's second suggestion is that I might want to avoid "couldn't", a contraction.
If it doesn't have an apostrophe, then it isn't a contraction.
Notice that the contraction mapping of Gupta and Saxena is a not a strict contraction, but k-contraction.
Since may not be less than 1, then may not be a contraction for.
Then F ∈ F and ω is an F-contraction which is not a Banach contraction, e = λ 1 − η being its fixed point.
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