Double Controlled Cone Metric Spaces and the Related Fixed Point Theorems
Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2023, v.30 no.1, pp.1-13
https://doi.org/https://doi.org/10.7468/jksmeb.2023.30.1.1
Tayebeh Lal Shateri
Tayebeh,
L.
S.
(2023). Double Controlled Cone Metric Spaces and the Related Fixed Point Theorems. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 30(1), 1-13, https://doi.org/https://doi.org/10.7468/jksmeb.2023.30.1.1
Abstract
In this paper, we introduce double controlled cone metric spaces via two control functions. An example of a double controlled cone metric space by two incomparable functions, which is not a controlled metric space, is given. We also provide some fixed point results involving Banach type and Kannan type contractions in the setting of double controlled cone metric spaces.
- keywords
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fixed point,
cone metric space,
double controlled cone metric space