A New Generalization of M-Metric Space With Some Fixed Point Theorems
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Date
2021
Authors
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Journal ISSN
Volume Title
Publisher
Univ Nis
Open Access Color
GOLD
Green Open Access
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Abstract
In this paper, we introduce a new sequential space as a generalization of M-metric spaces and M-b-metric spaces. In this generalized space we define two contractive mappings namely m-contraction and m-quasi-contraction and prove some fixed point theorems for such type of mappings. Several illustrative examples have been presented in strengthening the hypothesis of our theorems.
Description
Keywords
M-Metric Space, Fixed Point Theory, Stability, Fixed-point and coincidence theorems (topological aspects), fixed point theory, Complete metric spaces, stability, Special maps on metric spaces, \(M\)-metric space
Fields of Science
0101 mathematics, 01 natural sciences
Citation
Karapınar, Erdal; Roy, Kushal; Saha, Mantu (2021). "A New Generalization of M-Metric Space With Some Fixed Point Theorems", Facta Universitatis-Series Mathematics and Informatics, Vol. 36, No. 1, pp. 79-88.
WoS Q
Q4
Scopus Q
OpenCitations Citation Count
1
Source
Facta Universitatis, Series: Mathematics and Informatics
Volume
36
Issue
1
Start Page
79
End Page
88
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