Half-Metric Spaces
Veeresh Kodekalmath *
Department of Mathematics, REVA University, Bengaluru, Karnataka, India.
*Author to whom correspondence should be addressed.
Abstract
In this paper, I have introduced half-metric spaces on normed vector spaces over \(\mathbb{R}\) or \(\mathbb{C}\), which are similar to metric spaces by relaxing a few conditions of metric space.I have also introduced even half-metric spaces,established some properties and discussed completeness in the context of half-metric space and even half-metric space.
Keywords: Metric Space, Half-Metric Space, Translation Invariant, Cauchy Sequences