Modified w-distances on quasi-metric spaces and a fixed point theorem on complete quasi-metric spaces

Marín Molina Josefa, Alegre Gil Maria Carmen

2014

Modified w-distances on quasi-metric spaces and a fixed point theorem on complete quasi-metric spaces

In this note we introduce the notion of modified w-distance (mw-distance) on a quasi-metric space which generalizes the concept of quasi-metric. We obtain a fixed point theorem for generalized contractions with respect to mw-distances on complete quasi-metric spaces.