FUZZY CONE B-METRIC SPACES

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POŞUL H., KAPLAN E., Kütükcü S.

SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES-SIGMA MUHENDISLIK VE FEN BILIMLERI DERGISI, vol.37, no.4, pp.1297-1310, 2019 (ESCI)

• Publication Type: Article / Article
• Volume: 37 Issue: 4
• Publication Date: 2019
• Journal Name: SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES-SIGMA MUHENDISLIK VE FEN BILIMLERI DERGISI
• Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
• Page Numbers: pp.1297-1310
• Keywords: Fuzzy metric, cone metric, cone b-metric, fuzzy cone b-metric, Banach contraction theorem, fixed point
• Ondokuz Mayıs University Affiliated: Yes

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.