In this paper, we characterize closed and strongly closed subsets of convergence approach
spaces and introduce two notions of closure in the category of convergence approach …

The main goal of the present paper is to introduce the concept of approach topological
vector space, which is an extension of topological vector space. In this paper, we explained …

In this work, we introduce a new convergence formula. We also define cluster point, δ-
Cauchy sequence, δ-convergent, δ-completeness, and define sequentially contraction in …

T1 APPROACH SPACES 1. Introduction It is well-known that the category Met of metric
spaces and non-expensive maps fails to have Page 1 Commun. Fac. Sci. Univ. Ank. Ser. A1 …

In this paper we give new and unified isomorphic characterizations of approach spaces, pre-
approach spaces, convergence approach spaces, uniform gauge spaces, topological …

The concepts of Dh-contraction, proximit semigroup, proximit group, proximit vector space
and topological proximit space are introduced. There are a few instances and properties …

There are many papers and a basic reference work [46] on approach theory and we would
like to refer the interested reader to those (see the references) for more indepth information …

We describe a new structure of approach mathematics in this paper, we defined approach
normed space, convergent in approach normed space, the δ-Cauchy sequence in approach …

Filters occupy an important place in the characterization of topological spaces, approach
spaces and several other topological theories. Recently, via the ultrafilter monad, filters have …

We continue the investigation of suitable structures for quantified functional analysis, by
looking at the notion of local convexity in the setting of approach vector spaces as …