Generalizations of metrics and partial metrics

Year 2017, Volume: 46 Issue: 1, 9 - 14, 01.02.2017

Ralph Kopperman Homeira Pajoohesh

Abstract

In [14] $k$-metric spaces were defined for certain $\ell$-group applications, by weakening the metric triangle inequality. In this article we show that much of the theory of metric spaces, including the Banach fixed point theorem extends to these spaces.

Keywords

partial metrics, variety of $\ell$-groups, $k$-metrics

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