Common fixed point results from quasi-metric spaces to G-metric spaces

Aydi, Hassen; Bilgili, Nurcan; Karapınar, Erdal

doi:10.1016/j.joems.2014.06.009

Common fixed point results from quasi-metric spaces to G-metric spaces

Document Type : Original Article

Authors

¹ Dammam University, Department of Mathematics, College of Education of Jubail, P.O. 12020, Industrial Jubail 31961, Saudi Arabia

² Gazi University, Department of Mathematics, Institute of Science and Technology, 06500 Ankara, Turkey

³ Atilim University, Department of Mathematics, 06836 _ Incek, Ankara, Turkey

10.1016/j.joems.2014.06.009

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.

Keywords