Unique fixed point theorems for contractive maps type in T0-quasi-metric spaces

Abstract

In [2], Agyingi proved that every generalized contractive mapping defined in a q-spherically complete T0-ultra-quasi-metric space has a unique fixed point. In this article, we give and prove a fixed point theorem for C-contractive and S-contractive mappings in a bicomplete di-metric space. The connection between q-spherically complete T0-ultra-quasi-metric spaces and bicomplete di-metric spaces is pointed out in Proposition 3.1.