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We show that a discrete fixed point theorem of Eilenberg is equivalent to the restriction of the contraction principle to the class of non-Archimedean bounded metric spaces.. We
In section 2 we present the model in its original form and establish an equivalent formulation using boundary integrals. This is then used to devise a semi-implicit algorithm
Theorem 4.8 shows that the addition of the nonlocal term to local diffusion pro- duces similar early pattern results when compared to the pure local case considered in [33].. Lemma
Keywords: continuous time random walk, Brownian motion, collision time, skew Young tableaux, tandem queue.. AMS 2000 Subject Classification: Primary:
Maria Cecilia Zanardi, São Paulo State University (UNESP), Guaratinguetá, 12516-410 São Paulo,
As is well known, in any infinite-dimensional Banach space one may find fixed point free self-maps of the unit ball, retractions of the unit ball onto its boundary, contractions of
Then it follows immediately from a suitable version of “Hensel’s Lemma” [cf., e.g., the argument of [4], Lemma 2.1] that S may be obtained, as the notation suggests, as the m A
Besides the number of blow-up points for the numerical solutions, it is worth mentioning that Groisman also proved that the blow-up rate for his numerical solution is