Some New Results and Generalizations in G-cone Metric Fixed Point Theory
Mohammad Al-Khaleel *
Department of Mathematics, Yarmouk University, Jordan.
Sharifa Al-Sharif
Department of Mathematics, Yarmouk University, Jordan.
Mona Khandaqji
Department of Mathematics, Hashemite University, Jordan.
*Author to whom correspondence should be addressed.
Abstract
In this paper, we present sufficient generalized contractive conditions for the existence of fixed points in what so-called G-cone metric spaces. Importantly, we have obtained our results using contractive conditions stated in terms of variable coefficients and with no use of the normality property of cone.
Keywords: Generalized metric space, cone metric space, fixed point