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HomeJournalsSigma Journal of Engineering and Natural Sciences10.62051/ytu.sigma-journal-of-engineering-and-natural-sciences-fuzzy-cone-b-metric-spaces
SJSigma Journal of Engineering and Natural Sciences
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Article Open Access1 January 2019

Fuzzy Cone B-Metric Spaces

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Hande POŞUL*, Elif KAPLAN, and Servet KÜTÜKCÜ

Sigma Journal of Engineering and Natural Sciences 2019, Vol. 37, Issue 4, pp. 1301-1314; doi.org/10.62051/ytu.sigma-journal-of-engineering-and-natural-sciences-fuzzy-cone-b-metric-spaces

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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.

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POŞUL, H.; KAPLAN, E.; KÜTÜKCÜ, S. Fuzzy Cone B-Metric Spaces. Sigma Journal of Engineering and Natural Sciences 2019, Vol. 37, pp. 1301-1314. https://doi.org/10.62051/ytu.sigma-journal-of-engineering-and-natural-sciences-fuzzy-cone-b-metric-spaces

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Publication History
Published1 January 2019
Versionv1
AccessOpen Access
10.62051/ytu.sigma-journal-of-engineering-and-natural-sciences-fuzzy-cone-b-metric-spaces
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The Existence of Positive Solutions and A Lyapunov Type Inequality for Boundary Value Problems of thŞuayip TOPRAKSEVENSigma Journal of Engineering and Natural Sciences, 1 January 2019Soft fixed point theorems in terms of soft altering distance functionElif GÜNER, Vildan ÇETKİN et al.Sigma Journal of Engineering and Natural Sciences, 1 January 2018Accumulation of Metals in Some Wild and Cultivated Mushroom SpeciesSibel YILDIZ, Ayşenur GÜRGEN et al.Sigma Journal of Engineering and Natural Sciences, 1 January 2019
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