Fuzzy Cone B-Metric Spaces
Hande POŞUL 1
, Elif KAPLAN 2
, Servet KÜTÜKCÜ 2
, Elif KAPLAN 2
, Servet KÜTÜKCÜ 2
1Department of Mathematics, Kilis 7 Aralık University, KILIS
2Department of Mathematics, Ondokuz Mayıs University, Kurupelit, SAMSUN
2Department of Mathematics, Ondokuz Mayıs University, Kurupelit, SAMSUN
Sigma J Eng Nat Sci 2019; 37(4): 1301-1314
Abstract
In this article, we present the theory of fuzzy cone b-metric space as a new type of generalized metric spaces. We give some basic properties of this new space as Hausdorffness, convergence, completeness etc. In addition to, we introduce fuzzy cone b-metric Banach contraction theorem using our results.
Keywords: Fuzzy metric, cone metric, cone b-metric, fuzzy cone b-metric, Banach contraction theorem, fixed point.
