2018/06/15 by Ashis Bera, Lakshmi Kanta Dey, Bera, Ashis +5
Mathematics · #47H10 #54H25 #FOS: Mathematics #Fixed Point Theorems Analysis #Functional Analysis (math.FA)
paper · pdf · doi:10.48550/arxiv.1806.05890
openalex publication_date 2018/06/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this manuscript, we claim that the newly introduced F-metric spaces are Hausdorff and also first countable. Moreover, we assert that every separable F-metric space is second countable. Additionally, we acquire some interesting fixed point results concerning altering distance functions for contractive-type mappings and Kannan-type contractive mappings in this exciting context. However, most of the findings are well-furnished by several non-trivial numerical examples. Finally, we raise an open problem regarding the metrizability of such kind of spaces.