Results 31 to 40 of about 6,824 (283)
On best approximation in fuzzy metric spaces [PDF]
, 2015 summary:In this paper we introduce the notation of t-best approximatively compact sets, t-best approximation points, t-proximinal sets, t-boundedly compact sets and t-best proximity pair in fuzzy metric spaces.
Abbasi, Naser, Mottaghi Golshan, Hamid
core +1 more source
Kannan-type cyclic contraction results in $2$-Menger space [PDF]
Mathematica 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]
Songklanakarin 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
, 2022 This work introduces the concepts of rectangular Menger probabilistic metric (RMPM) space and rectangular Menger probabilistic b-metric (RMPbM) space as generalizations of the Menger probabilistic metric space and the Menger probabilistic b-metric space,
Reza Chaharpashlou +2 more
core +1 more source
φ-Contraction in generalized probabilistic metric spaces [PDF]
Fixed 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
Mathematics, 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
Probabilistic \(s_b\) -metric spaces
Malaya 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
Free complete Wasserstein algebras [PDF]
Logical 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 compactness of probabilistic metric space
Applied 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
Iranian Journal of Mathematical Sciences and Informatics, 2022 12 pages.
Banerjee, A. K., Paul, M.
openaire +3 more sources