Fixed-Point Theorems on Bn-Metric Space
摘要
Metric spaces are generalized to three variables and are termed as S-metric spaces, which, in turn, are extended to four variables and are termed as B4-metric spaces. Now we extend this notion to n-variables (n ≥ 4), which we name as Bn-metric spaces. We study novel contractive mappings on Bn-metric spaces and analyze relationships between them using examples and counterexamples as needed. Furthermore, we prove fixed point theorems for self-map on Bn-metric spaces.