On the topological equivalence of some generalized metric spaces

Some topological properties of fuzzy strong b-metric spaces

‎In this study‎, ‎we investigate topological properties of fuzzy strong‎ b-metric spaces defined in [13]‎. ‎Firstly‎, ‎we prove Baire's theorem for‎ ‎these spaces‎. ‎Then we define the product of two fuzzy strong b-metric spaces‎ ‎defined with same continuous t-norms and show that $X_{1}times X_{2}$ is a‎ ‎complete fuzzy strong b-metric space if and only if $X_{1}$ and $X_{2}$ are‎ ‎complete fu...

Hereditarily Homogeneous Generalized Topological Spaces

In this paper we study hereditarily homogeneous generalized topological spaces. Various properties of hereditarily homogeneous generalized topological spaces are discussed. We prove that a generalized topological space is hereditarily homogeneous if and only if every transposition of $X$ is a $mu$-homeomorphism on $X$.

On Some Topological Properties of Generalized Difference Sequence Spaces

We obtain some topological results of the sequence spaces ∆m(X), where ∆m(X) = {x = (xk) : (∆xk) ∈ X}, (m ∈ N), and X is any sequence space. We compute the pα-, pβ-, and pγ-duals of l∞,c, and c0 and we investigate the N-(or null) dual of the sequence spaces ∆m(l∞),∆m(c), and ∆(c0). Also we show that any matrix map from ∆m(l∞) into a BK-space which does not contain any subspace isomorphic to ∆m(...

On Some Generalized Structures in Fuzzy Soft Topological Spaces

Molodstov introduced soft sets to deal with uncertainties and not clear objects. Researchers developed the relationship between soft sets and information systems. Fuzzification of the notions of soft sets and soft topology have been discussed in the literature. In this paper, we define and establish the topological structures of fuzzy soft semi-open sets and fuzzy soft semi-closed sets. We intr...

On Generalized Probabilistic Metric Spaces

In the present paper we study some generalized probabilistic metric spaces. Relationships with another deterministic and probabilistic metric structures are analyzed. A contraction condition for mappings with values into such a generalized probabilistic metric space is given. Fixed point results are proved.

On Generalized Complete Metric Spaces