We are now ready to define vector spaces. The idea is to observe that sets of column vectors, or row vectors, or more generally matrices of a given size, all come equipped with a notion of addition ...

Abstract In this paper, we introduce the concept of a weak q-distance and for this distance we derive a set-valued version of Ekeland's variational principle in the setting of uniform spaces. By using ...

We investigate the size of the distance set determined by two subsets of finite dimensional vector spaces over finite fields. A lower bound of the size is given explicitly in terms of cardinalities of ...

The main purpose of our project is to study spaces of so-called continuous and Lipschitz functions—special kind of mathematical spaces consisting of “regular” and “nice” functions—in the context of ...