Common Fixed Point Results from Quasi-Metric Spaces to G-Metric Spaces

Abstract

In this paper, we provide some common fixed point results involving implicit contractions on quasi-metric spaces, and based on the recent nice paper of Jleli and Samet (2012), we show that some common fixed point theorems involving implicit contractions on G-metric spaces can be deduced immediately from our common fixed point theorems on quasi-metric spaces. The notion of well-posedness of the common fixed point problem is also studied.