AN IMPLICIT RELATION FOR FOUR NON-SELF MAPPINGS IN PARTIAL METRIC SPACES

Abstract

Berinde and Vetro (2012) introduced fixed points theorems involving implicit relations for metric spaces and ordered metric spaces. These theorems were extended into partial metric spaces by other researchers. Vetro and Vetro studied coincidence point and common fixed point theorems for one pair of self-mappings satisfyirg conditions defined by implicit relations in the settings of partial metric space. We extend these results by Vetro and Vetro to two pairs of non-self mappings in complete partiai metric spaces having a convex structure.