Results 1 to 10 of about 3,843 (103)
On completable fuzzy metric spaces [PDF]
Fuzzy Sets and Systems, 2015 In this paper we construct a non-completable fuzzy metric space in the sense of George and Veeramani which allows to answer an open question related to continuity on the real parameter t. In addition, the constructed space is not strong (non-Archimedean).
Gregori Gregori, Valentín +2 more
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On Completeness and Fixed Point Theorems in Fuzzy Metric Spaces
MathematicsThis paper is devoted to showing the relevance of the notion of completeness used to establish a fixed point theorem in fuzzy metric spaces introduced by Kramosil and Michalek.
Valentín Gregori +3 more
doaj +4 more sources
Gromov–Hausdorff convergence of non-Archimedean fuzzy metric spaces [PDF]
Fuzzy Sets and Systems, 2015 We introduce the notion of the Gromov–Hausdorff fuzzy distance between two non-Archimedean fuzzy metric spaces (in the sense of Kramosil and Michalek). Basic properties involving convergence and the fuzzy version of the completeness theorem are presented.
Macario, Sergio, Sanchis López, Manuel
core +4 more sources
Fixed Point Results in Fuzzy Strong Controlled Metric Spaces with an Application to the Domain Words
Advances in Mathematical Physics, 2023 In this manuscript, we introduce the notions of fuzzy strong controlled metric spaces, fuzzy strong controlled quasi-metric spaces, and non-Archimedean fuzzy strong controlled quasi-metric spaces and generalize the famous Banach contraction principle. We
Aftab Hussain +2 more
doaj +2 more sources
On optimal fuzzy best proximity coincidence points of fuzzy order preserving proximal Ψ(σ, α)-lower-bounding asymptotically contractive mappings in non-Archimedean fuzzy metric spaces [PDF]
Springerplus, 2016 This paper discusses some convergence properties in fuzzy ordered proximal approaches defined by $$\{ (g_{n} ,T_{n} )\}$${(gn,Tn)}—sequences of pairs, where $$g:A \to A$$g:A→A is a surjective self-mapping and $$T:A \to B,$$T:A→B, where Aand Bare nonempty
De la Sen M, Abbas M, Saleem N.
europepmc +2 more sources
Proinov-Type Fixed-Point Results in Non-Archimedean Fuzzy Metric Spaces
Mathematics, 2021 Very recently, Proinov introduced a great family of contractions in the setting of complete metric spaces that has attracted the attention of many researchers because of the very weak conditions that are assumed on the involved functions.
A. F. Roldán López de Hierro +3 more
semanticscholar +3 more sources
Mathematics, 2022 This paper addresses a problem of global optimization in a non-Archimedean fuzzy metric space context without fuzzy P-property. Specifically, it concerns the determination of the fuzzy distance between two subsets of a non-Archimedean fuzzy metric space.
Mi Zhou +3 more
semanticscholar +3 more sources
The Expectation Monad in Quantum Foundations [PDF]
, 2012 The expectation monad is introduced abstractly via two composable adjunctions, but concretely captures measures. It turns out to sit in between known monads: on the one hand the distribution and ultrafilter monad, and on the other hand the continuation ...
A. Dvurečenskij +38 more
core +16 more sources
Best proximity points in non-Archimedean fuzzy metric spaces with application to domain of words
AIMS Mathematics, 2022 This paper deals with the existence and uniqueness of the best proximity points of nonself-mappings in the context of non-Archimedean fuzzy metric spaces.
Basit Ali +4 more
semanticscholar +1 more source
Translation-invariant generalized topologies induced by probabilistic norms [PDF]
, 2005 In this paper we consider probabilistic normed spaces as defined by Alsina, Sklar, and Schweizer, but equipped with non necessarily continuous triangle functions. Such spaces endow a generalized topology that is Fr\'echet-separable, translation-invariant
Lafuerza-Guillen, Bernardo +1 more
core +8 more sources