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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
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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
fixed point, cone metric space, double controlled cone metric space

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics