2020/09/02 by Seyed Mohammad Amin Khatami, Madjid Mirzavaziri, Khatami, Seyed Mohammad Amin +1
Mathematics · Decision Sciences · #Fixed Point Theorems Analysis #Fuzzy and Soft Set Theory #Advanced Topology and Set Theory
paper · pdf · doi:10.48550/arxiv.2009.00943
A generalization of the triangle inequality is introduced by a mapping similar to a t-conorm mapping. This generalization leads us to a notion for which we use the ⋆-metric terminology. We are interested in the topological space induced by a ⋆-metric. Considering some examples of non-trivial ⋆-metrizable topological spaces, we also study the product topology for a finite family of ⋆-metrizable topological spaces.