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Then as is continuous.
(d) As is continuous then we have that is log-convex and we get (3.4). .
As is continuous, from a well known result in -fuzzy (probabilistic) normed space (see, [51, Chap.
As is continuous then we have that is log-convex and we get (3.4).
Next, as is continuous and one-to-one, it follows from (c) that the sequence converges to.
So by Lemma 2.3, has a minimum at, say, (i Suppose that is continuous and weakly -contractive. Then as is continuous. Now observe that if is continuous, and, then We show that Suppose that ; then (3.4). a contradiction to the minimality of at Having one can see that Indeed, if then we have (3.5). a contradiction.
Similar(54)
Can we never truly be at home?" Tallack's journey isn't set up as being continuous, and as it progresses he interleaves it with more and more of his rootless backstory.
The variable t can be treated as being continuous even if time is measured in terms of discrete generations.
We know from such experience that patience is necessary, as are continuous refinements of the technique, and continuous revision of the right questions to ask.
Thus F n is closed as T is continuous.
Proof As T is continuous, so F ( T ) is closed.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com