Roy, KushalSaha, MantuKarapinar, Erdal2022-02-242025-09-182022-02-242025-09-182021Karapınar, 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. 79-88.0352-96652406-047Xhttps://doi.org/10.22190/FUMI200310007Khttps://hdl.handle.net/20.500.12416/13260In 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.eninfo:eu-repo/semantics/openAccessM-Metric SpaceFixed Point TheoryStabilityA New Generalization of M-Metric Space With Some Fixed Point TheoremsA New Generalization of M-Metric Space With Some Fixed Point TheoremsArticle10.22190/FUMI200310007K