We consider the approach to self-similarity (or dynamical scaling) in Smoluchowski’s coagulation equations for the solvable kernels K(x, y) = 2, x+ y and xy. We prove the uniform convergence of densities to the self-similar solution with exponential tails under the regularity hypothesis that a suitable moment have an integrable Fourier transform. For the discrete equations we prove uniform conv...

The full lattice convergence on a locally solid Riesz space is an abstraction of the topological, order, and relatively uniform convergences. We investigate four modifications c space. first one produces sequential sc. second makes absolute c-convergence generalizes weak convergence. third modification unbounded various convergences recently studied in literature. last applicable whenever commu...

In cite{Kats84}, Katsaras introduced a method for constructing a Hu-tton $[0,1]$-quasi-uniformity from a crisp uniformity. In this paper we present other different methods for making this based mainly in the concept of a fuzzy uniform structure. Furthermore, we prove that some of these methods preserve the completeness property of the quasi-uniformity.  Moreover, we also show that Katsaras' con...