Common fixed points of non-self mappings satisfying implicit relations in partial metric spaces

Abstract

Fixed points theorems involving implicit relations were introduced by Berinde and Vetro for metric spaces and ordered metric spaces. Researchers have extended similar theorems into partial metric spaces. Vetro and Vetro studied coincidence point and common fixed point theorems for two self-mappings satisfying conditions defined by implicit relations in the settings of partial metric space. We extend this theorem into non-self mappings in complete partial metric spaces having a convex structure.