Common fixed point results from quasi-metric spaces to G-metric spaces | ||
| Journal of the Egyptian Mathematical Society | ||
| Volume 23, Issue 2, 2015, Pages 356-361 PDF (446.2 K) | ||
| Document Type: Original Article | ||
| DOI: 10.1016/j.joems.2014.06.009 | ||
| Authors | ||
| Hassen Aydi* 1; Nurcan Bilgili2; Erdal Karapınar3 | ||
| 1Dammam University, Department of Mathematics, College of Education of Jubail, P.O. 12020, Industrial Jubail 31961, Saudi Arabia | ||
| 2Gazi University, Department of Mathematics, Institute of Science and Technology, 06500 Ankara, Turkey | ||
| 3Atilim University, Department of Mathematics, 06836 _ Incek, Ankara, Turkey | ||
| 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 | ||
| Fixed point; Implicit contraction; Quasi-metric space; G-Metric space | ||
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