This paper concerns equilibrium problems in real metric linear spaces. Considering a modified notion of  upper sign property for bifunctions, we obtain the relationship between the solution sets of the local Minty equilibrium problem and the equilibrium problem, where the technical conditions on $f$ used in the literature are relaxed. The KKM technique is used to generalize and unify some exist...

A matrix A ∈ Rn×n is eventually nonnegative (respectively, eventually positive) if there exists a positive integer k0 such that for all k ≥ k0, A ≥ 0 (respectively, A > 0). Here inequalities are entrywise and all matrices are real and square. An eigenvalue of A is dominant if its magnitude is equal to the spectral radius of A. A matrix A has the strong Perron-Frobenius property if A has a uniqu...

We prove the first stability estimates for the ENO reconstruction procedure. They take the form of a sign property: we show that the jump in the reconstructed pointvalues at each cell interface has the same sign as the jump in underlying cell averages (cell centered values) across the interface. Moreover their ratio is upper bounded. These estimates hold for arbitrary orders of accuracy of the ...

Throughout, X := {X ï¿¿ } ï¿¿≥0 denotes a Lévy process on R ï¿¿ with triple (ï¿¿ ï¿¿ σï¿¿ ï¿¿), and exponent Ψ. And from now on, we let {ï¿¿ ï¿¿ } ï¿¿≥0 denote the natural filtration of X, all the time remembering that, in accord with our earlier convention, {ï¿¿ ï¿¿ } ï¿¿≥0 satisfies the usual conditions. Definition 1. The transition measures of X are the probability measures P ï¿¿ (ï¿¿ ï¿¿ A)...

For a given isotropic and homogeneous field of magnetic fluctuations both the viscosity-α as well as the dynamo-α have been computed for accretion disks on the basis of a quasilinear approximation with shear flow and density fluctuations (i.e. magnetic buoyancy) included. The resulting viscosity-α proves to be positive for sufficiently strong shear (i.e. the angular momentum transport is outwar...