Results 21 to 30 of about 7,133 (253)

Probabilistic \(s_b\) -metric spaces

open access: yesMalaya Journal of Matematik, 2020
We propose an attractive development of metric spaces termed as a probabilistic \(s_b\)-metric spaces with some examples in this work. Also some of its properties were proved.
null A. Kalpana, null M. Saraswathi
openaire   +1 more source

Kannan-type cyclic contraction results in $2$-Menger space [PDF]

open access: yesMathematica Bohemica, 2016
In this paper we establish Kannan-type cyclic contraction results in probabilistic 2-metric spaces. We use two different types of $t$-norm in our theorems. In our first theorem we use a Hadzic-type $t$-norm.
Binayak Samaddar Choudhury   +1 more
doaj   +1 more source

Conceptual interpretation of interval valued 𝑇̅- normed fuzzy 𝛽-subalgebra [PDF]

open access: yesSongklanakarin Journal of Science and Technology (SJST), 2022
Triangular norm is a sort of binary operation often used in the fields such as fuzzy logic, probabilistic metric spaces and so on. In this paper, the concept of interval valued 𝑇̅-normed fuzzy 𝛽-subalgebra is proposed and its associated outcomes ...
P. Hemavathi   +3 more
doaj   +1 more source

φ-Contraction in generalized probabilistic metric spaces [PDF]

open access: yesFixed Point Theory and Applications, 2015
AbstractWe use the gauge function introduced by Fang to gain a fixed point result in probabilistic G-metric spaces. Our work extends some existing results. Moreover, our result is supported with an example.
Alsulami, Saud M   +2 more
openaire   +1 more source

Sequential Completeness for ⊤-Quasi-Uniform Spaces and a Fixed Point Theorem

open access: yesMathematics, 2022
We define sequential completeness for ⊤-quasi-uniform spaces using Cauchy pair ⊤-sequences. We show that completeness implies sequential completeness and that for ⊤-uniform spaces with countable ⊤-uniform bases, completeness and sequential completeness ...
Gunther Jäger
doaj   +1 more source

Free complete Wasserstein algebras [PDF]

open access: yesLogical Methods in Computer Science, 2018
We present an algebraic account of the Wasserstein distances $W_p$ on complete metric spaces, for $p \geq 1$. This is part of a program of a quantitative algebraic theory of effects in programming languages.
Radu Mardare   +2 more
doaj   +1 more source

On Probabilistic Alpha-Fuzzy Fixed Points and Related Convergence Results in Probabilistic Metric and Menger Spaces under Some Pompeiu-Hausdorff-Like Probabilistic Contractive Conditions

open access: yesJournal of Function Spaces, 2015
In the framework of complete probabilistic metric spaces and, in particular, in probabilistic Menger spaces, this paper investigates some relevant properties of convergence of sequences to probabilistic α-fuzzy fixed points under some types of ...
M. De la Sen
doaj   +1 more source

On compactness of probabilistic metric space

open access: yesApplied Mathematical Sciences, 2014
In this paper we show that every separable probabilistic metric space admits a compatible precompact probabilistic metric and that a probabilistic metric space is compact if and only if is precompact and complete. Finally we give a generalization Niemytzki-Tychonoff theorem [1] to probabilistic metric spaces.
Abderrahim Mbarki   +2 more
openaire   +1 more source

Strong $I^K$-Convergence in Probabilistic Metric Spaces

open access: yesIranian Journal of Mathematical Sciences and Informatics, 2022
12 pages.
Banerjee, A. K., Paul, M.
openaire   +3 more sources

Families of quasi-pseudo-metrics generated by probabilistic quasi-pseudo-metric spaces [PDF]

open access: yesSurveys in Mathematics and its Applications, 2007
This paper contains a study of families of quasi-pseudo-metrics (the concept of a quasi-pseudo-metric was introduced by Wilson, Albert and Kelly) generated by probabilistic quasi-pseudo-metric-spaces which are generalization of probabilistic metric ...
Mariusz T. Grabiec   +2 more
doaj  

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