On Quasimetrizability of Quasicone Metric Spaces. (9th July 2015)

• Record Type: Journal Article
• Authors: Aphane, M.; Moshokoa, S. P.
• Other Names: Marano Salvatore A. Academic Editor.
• Is Part Of: Chinese journal of mathematics. Volume 2015(2015)
• Publication Date: 2015-07-09
• Subjects: Mathematics -- Periodicals; Mathematics; Periodicals
• DOI: 10.1155/2015/392190
• Languages: English
• ISSNs: 2314-8071

Abstract

Abstract : The aim of this work is to extend interesting results on the metrizability of cone metric spaces as it appears in the literature. In this paper we appeal to quasiuniformities and uniformities to prove that a quasicone metric space is qausimetrizable, and from our results we will deduce that every cone metric space is metrizable; our approach is more on bitopological and topological properties and differs from the one used by the papers mentioned above but affirms some of their results.