FIXED POINT RESULTS IN ORBITALLY 0-σ-COMPLETE METRIC-LIKE SPACES VIA RATIONAL CONTRACTIVE CONDITIONS

Abstract

Inspired by the notion of metric-like space as a generalization of partial metric spaces, we present some results on fixed points in the framework of F-orbitally 0-σ-complete metric-like spaces. In this paper we bring into play two alternatives of rational contraction conditions. Some consequences are obtained and examples are presented, showing how the given results can be used for proving the existence of (common) fixed points.