Results 31 to 40 of about 186 (57)
Journal of Mathematics, Volume 2025, Issue 1, 2025.In this study, we introduce a bipolar interval‐valued intuitionistic fuzzy (BIVIF) norm, projection, and bidirectional projection measure within the framework of BIVIF topological spaces. These tools enable us to handle ambiguity with greater accuracy, calculate relationships between sets more effectively, and make rational decisions in uncertain ...
Suganya Manivannan +4 more
wiley +1 more source
Forum of Mathematics, SigmaWe introduce the notion of echeloned spaces – an order-theoretic abstraction of metric spaces. The first step is to characterize metrizable echeloned spaces. It turns out that morphisms between metrizable echeloned spaces are uniformly continuous or have
Maxime Gheysens +4 more
doaj +1 more source
ℐ-sn-metrizable spaces and the images of semi-metric spaces
Open MathematicsThe theory of generalized metric spaces is an active topic in general topology. In this article, we utilize the concepts of ideal convergence and networks to discuss the metrization problem and the mutual classification problem between spaces and ...
Zhou Xiangeng +3 more
doaj +1 more source
New generalized pseudodistance and coincidence point theorem in a b-metric space
, 2013 In this paper, in a b-metric space, we introduce the concept of b-generalized pseudodistances which are the extension of b-metric. Next, inspired by ideas of Singh and Prasad we define a new contractive condition with respect to this b-generalized ...
R. Plebaniak
semanticscholar +1 more source
Characterizations of Urysohn universal ultrametric spaces
Analysis and Geometry in Metric SpacesIn this article, using the existence of infinite equidistant subsets of closed balls, we first characterize the injectivity of ultrametric spaces for finite ultrametric spaces. This method also gives characterizations of the Urysohn universal ultrametric
Ishiki Yoshito
doaj +1 more source
, 2014 Recently, Al-Fhaid and Mohiuddine (Adv. Differ. Equ. 2013:203, 2013) and Mohiuddine and Alghamdi (Adv. Differ. 2012:141, 2012) got some results in intuitionistic fuzzy normed spaces using ideas of intuitionistic fuzzy sets due to Atanassov and fuzzy ...
R. Saadati, Choonkill Park
semanticscholar +1 more source
On the Borel complexity and the complete metrizability of spaces of metrics
Analysis and Geometry in Metric SpacesGiven a metrizable space XX, let AM(X)AM\left(X) be the space of continuous bounded admissible metrics on XX, which is endowed with the sup-metric. In this article, we shall investigate the Borel complexity and the complete metrizability of AM(X)AM\left ...
Koshino Katsuhisa
doaj +1 more source
New common fixed point results in digital metric space
Demonstratio MathematicaIn this paper, we develop a new common fixed-point theorem tailored specifically to digital metric spaces, where the discrete nature of pixel grids demands specialized distance and contraction concepts.
Özkapu Aybala Sevde, Acar Özlem
doaj +1 more source
A cardinal function on the category of metric spaces
, 2014 In the following text in the metric spaces category we introduce a topologically invariant cardinal function, Θ (clearly Θ is a tool to classify metric spaces).
F. A. Z. Shirazi +1 more
semanticscholar +1 more source
Approximation of the multiplicatives on random multi-normed space. [PDF]
J Inequal Appl, 2017 Agarwal RP, Saadati R, Salamati A.
europepmc +1 more source