Isik, HuseyinMalviya, NeerajJarad, FahdFernandez, Jerolina2024-01-122025-09-182024-01-122025-09-182023Fernandez, Jerolina;...et.al. (2023). "Nb-fuzzy metric spaces with topological properties and applications", AIMS Mathematics, Vol.8, No.3, pp.5879-5898.2473-6988https://doi.org/10.3934/math.2023296https://hdl.handle.net/20.500.12416/11150Isik, Huseyin/0000-0001-7558-4088; Fernandez, Dr. Jerolina/0000-0002-2807-9596Our aim is to introduce the notion of Nb-fuzzy metric space (FMS). We also define quasi N-FMS, and pseudo Nb-FMS with examples and counterexamples and prove a decomposition theorem for pseudo Nb-FMS. We prove various theorems related to the convergence of sequences and analyze topology of symmetric Nb-FMS. At last, we provide an application of q-contraction mapping as a Banach contraction principle (BCP) in the structure of symmetric Nb-FMS and applied it in the solution of integral equations and linear equations.eninfo:eu-repo/semantics/openAccessNb-Fuzzy Metric SpacePseudo Nb-Fuzzy Metric SpaceQ-ContractionQuasi N-Fuzzy Metric SpaceArticle10.3934/math.20232962-s2.0-85144982344