Some Common Fixed Point Theorems for (F, f)-Contraction Mappings in 0-Gp-Complete Gp-Metric Spaces
Meltem Kaya *
Department of Mathematics, Kahramanmaras Sütçü İmam University, Kahramanmaras, 46100, Turkey.
Mahpeyker Öztürk
Department of Mathematics, Sakarya University, Sakarya, 54187, Turkey.
Hasan Furkan
Department of Mathematics, Kahramanmaras Sütçü İmam University, Kahramanmaras, 46100, Turkey.
*Author to whom correspondence should be addressed.
Abstract
In this article, we introduced the concept of (F, f)-contraction and the concept of generalized (F, f)-contractions on a Gp-metric space. Furthermore, we obtained some common fixed point results for two Banach pairs of mappings which satisfy (F, f)-contraction and the generalized (F, f)-contractions. The presented theorems generalize known results in the literature. We also provide examples to illustrate the usability of our results presented herein.
Keywords: Common fixed point, 0-Gp-complete Gp-metric spaces, (F, f)-contraction, generalized (F, f)-contractions, Banach pairs