We present a new method for computing core universal solutions in data exchange settings specified by source-to-target dependencies, by means of SQL queries. Unlike previously known algorithms, which are recursive in nature, our method can be implemented directly on top of any DBMS. Our method is based on the new notion of a laconic schema mapping. A laconic schema mapping is a schema mapping f...

We consider a class of variational relation problems, depending on two parameters from metric spaces. The issue under investigation is the behaviour solution in neighborhood fixed pair parameters, more precisely, H?lder calmness mapping. After establishing some sufficient condition for general framework, we particularize result inclusion and an equilibrium problem.

we show that the variational inequality $vi(c,a)$ has aunique solution for a relaxed $(gamma , r)$-cocoercive,$mu$-lipschitzian mapping $a: cto h$ with $r>gamma mu^2$, where$c$ is a nonempty closed convex subset of a hilbert space $h$. fromthis result, it can be derived that, for example, the recentalgorithms given in the references of this paper, despite theirbecoming more complicated, are not...

Abstract. Coastal cities are under rising pressure to adapt climate change. They suffer from the severe effects of increased frequencies and intensities coastal hazards, particularly flooding, while oftentimes continuing sprawl into hazard-exposed areas grow beyond pace sufficient infrastructure development. Even though these problems have been quite well understood for a while, there is still ...

Abstract. In this paper, the solvability of a class of forward-backward stochastic di erential equations (SDEs for short) over an arbitrarily prescribed time duration is studied. We design a stochastic relaxed control problem, with both drift and di usion all being controlled, so that the solvability problem is converted to a problem of nding the nodal set of the viscosity solution to a certain...