Common fixed point results from quasi-metric spaces to G-metric spaces | ||||
Journal of the Egyptian Mathematical Society | ||||
Volume 23, Issue 2, 2015, Page 356-361 PDF (446.2 K) | ||||
Document Type: Original Article | ||||
DOI: 10.1016/j.joems.2014.06.009 | ||||
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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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