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Open AccessArticle

From G-Completeness to M-Completeness

1
Department of Mathematics, Faculty of Sciences and technology, Abbes Laghror University, Khenchela 40000, Algeria
2
Department of Mathematics and General Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia
3
Department of Mathematics, College of Science, King Saud University, Riyadh 11451, Saudi Arabia
*
Author to whom correspondence should be addressed.
Symmetry 2019, 11(7), 839; https://doi.org/10.3390/sym11070839
Received: 27 May 2019 / Revised: 21 June 2019 / Accepted: 24 June 2019 / Published: 27 June 2019
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PDF [708 KB, uploaded 27 June 2019]

Abstract

The purpose of this paper is to obtain a sufficient condition for a G-Cauchy sequence to be an M-Cauchy sequence in fuzzy metric spaces. Our main result provides a partial answer to the open question posed by V. Gregori and A. Sapena. For application, we give a new fuzzy version of the Banach fixed point theorem. View Full-Text
Keywords: fuzzy metric space; G-Complete; M-Complete; Banach contraction; fixed point fuzzy metric space; G-Complete; M-Complete; Banach contraction; fixed point
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Mecheraoui, R.; Mukheimer, A.; Radenović, S. From G-Completeness to M-Completeness. Symmetry 2019, 11, 839.

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