Khan, M. and Iqbal, M.A. (2016) On Irresolute Topological Vector Spaces. Advances in Pure Mathematics, 6, 105-112.
https://doi.org/10.4236/apm.2016.62009

has been cited by the following article:

• TITLE: On Almost Pretopological Vector Spaces

  AUTHORS: Shallu Sharma, Madhu Ram

  KEYWORDS: Pre-Open Sets, Regular Open Sets, δ-Open Sets, Almost Pretopological Vector Spaces

  JOURNAL NAME: Open Access Library Journal, Vol.5 No.11, November 28, 2018

  ABSTRACT: In this paper, we introduce the notion of almost pretopological vector spaces and present some examples of almost pretopological vector spaces. Almost pretopological vector spaces are defined by using regular open sets and pre-open sets. The relationships of almost pretopological vector spaces with certain other types of spaces are provided. Along with some useful results, it is proved that in almost pretopological vector spaces, translation and scalar multiple of a regular open (resp. regular closed) set are pre-open (resp. pre-closed).