Generalizations of metrics and partial metrics

Yıl 2017, Cilt: 46 Sayı: 1, 9 - 14, 01.02.2017

Ralph Kopperman Homeira Pajoohesh

Öz

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.

Anahtar Kelimeler

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

Kaynakça

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