Generalizations of metrics and partial metrics

Authors : Ralph KOPPERMAN, Homeira PAJOOHESH

Pages : 9-14

View : 24 | Download : 12

Publication Date : 2017-02-01

Article Type : Research Paper

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