Mathematics and Statistics Vol. 7(5), pp. 229 - 238
DOI: 10.13189/ms.2019.070509
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Non-Archimedean Fuzzy M-Metric Space and Fixed Point Theorems Endowed with a Reflexive Digraph

Anuradha ^1,*, Seema Mehra ¹, Said Broumi ^2
1 Department of Mathematics, Maharshi Dayanand University (M.D.U), India
² Faculty of Science Ben M'Sik, University Hassan II, Morocco

ABSTRACT

Motivated by the concepts of fuzzy metric and m-metric spaces, we introduced the notion of Non- Archimedean fuzzy m-metric space which is an extension of partial fuzzy metric space. We present some examples in support of this new notion. Regarding this notion, its topological structure and some properties are specified simultaneously. At the end, some fixed point results are also provided.

KEYWORDS
M-Metric Space, Fuzzy Metric Space, Non-Archimedean Fuzzy M-Metric Space, Fixed Point, Graph

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Anuradha , Seema Mehra , Said Broumi , "Non-Archimedean Fuzzy M-Metric Space and Fixed Point Theorems Endowed with a Reflexive Digraph," Mathematics and Statistics, Vol. 7, No. 5, pp. 229 - 238, 2019. DOI: 10.13189/ms.2019.070509.

(b). APA Format:
Anuradha , Seema Mehra , Said Broumi (2019). Non-Archimedean Fuzzy M-Metric Space and Fixed Point Theorems Endowed with a Reflexive Digraph. Mathematics and Statistics, 7(5), 229 - 238. DOI: 10.13189/ms.2019.070509.