Results 1 to 10 of about 147 (121)
The Wijsman topology of a fuzzy metric space [PDF]
Fuzzy Sets and Systems, 2016 J. Gutierrez Garcia acknowledges the support of the Ministry of Economy and Competitiveness of Spain, Grant MTM2012-37894-C02-02. J. Rodriguez-Lopez, S. Romaguera and M. Sanchis also acknowledge the support of the Ministry of Economy and Competitiveness of Spain, Grant MTM2012-37894-C02-01.
Javier Gutierrez Garcia +2 more
exaly +5 more sources
On normality of the Wijsman topology [PDF]
Annali Di Matematica Pura Ed Applicata, 2011 Let $(X,ρ)$ be a metric space and $(CL(X),W_ρ)$ be the hyperspace of all nonempty closed subsets of $X$ equipped with the Wijsman topology. The Wijsman topology is one of the most important classical hyperspace topologies. We give a partial answer to a question posed in \cite{maio} whether the normality of $(CL(X),W_ρ)$ is equivalent to its ...
Ľubica Holá, Branislav Novotny
exaly +4 more sources
Every Wijsman Topology Relative to a Polish Space is Polish [PDF]
Proceedings of the American Mathematical Society, 1995 Generalizing a result of G. Beer and a result of E. Effros, we show that if ( X, d ) is a separable and completely metrizable metric space, then the hyperspace of X endowed with the Wijsman topology is separable and completely metrizable.
C Costantini
exaly +5 more sources
The Wijsman and Attouch-Wets topologies on hyperspaces revisited
Topology and Its Applications, 1996 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
R Lowen, M Sioen
exaly +5 more sources
Hyperspaces of separable Banach spaces with the Wijsman topology
Topology and Its Applications, 2005 Let \(\text{Cld}(X)\) be the set of all non-empty closed sets in a topological space \(X\). Let \(X= (X,d)\) be a metric space, for each \(x\in X\) and \(r> 0\), let \[ U^-(x,r)= \{A\in \text{Cld}(X): d(x,A)< r\};\;U^+(x,r)= \{A\in\text{Cld}(X): d(x,A)> r\}. \] The Wijsman topology on \(\text{Cld}(X)\) is the topology induced by the family \(\{U^-(x,r),
Wiesław Kubis, Katsuro Sakai
exaly +3 more sources
Postzygotic single-nucleotide mosaicisms contribute to the etiology of autism spectrum disorder and autistic traits and the origin of mutations. [PDF]
Hum Mutat, 2017 We report that missense/loss‐of‐function (LoF) postzygotic single nucleotide mosaicisms (pSNMs) with a high mutant allele fraction (MAF>=0.2) contributed to ASD diagnoses, whereas missense/LoF pSNMs with a low MAF (MAF<0.2) contributed to autistic traits in male non‐ASD siblings. Missense/LoF pSNMs in parents with a low MAF were transmitted more to ASD
Dou Y +12 more
europepmc +2 more sources
All hypertopologies are hit-and-miss [PDF]
Applied General Topology, 2002 We solve a long standing problem by showing that all known hypertopologies are hit-and-miss. Our solution is not merely of theoretical importance.
Somshekhar Naimpally
doaj +2 more sources
Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 In this study, we investigate the notions of the Wijsman ℐ2‐statistical convergence, Wijsman ℐ2‐lacunary statistical convergence, Wijsman strongly ℐ2‐lacunary convergence, and Wijsman strongly ℐ2‐Cesàro convergence of double sequence of sets in the intuitionistic fuzzy metric spaces (briefly, IFMS).
Ömer Kişi, Huseyin Isik
wiley +1 more source
Lacunary ℐ‐Invariant Convergence of Sequence of Sets in Intuitionistic Fuzzy Metric Spaces
Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 The concepts of invariant convergence, invariant statistical convergence, lacunary invariant convergence, and lacunary invariant statistical convergence for set sequences were introduced by Pancaroğlu and Nuray (2013). We know that ideal convergence is more general than statistical convergence for sequences.
Mualla Birgül Huban, Huseyin Isik
wiley +1 more source
Some Results on Wijsman Ideal Convergence in Intuitionistic Fuzzy Metric Spaces
Journal of Function Spaces, Volume 2020, Issue 1, 2020., 2020 In the present work, we study and extend the notion of Wijsman J–convergence and Wijsman J∗–convergence for the sequence of closed sets in a more general setting, i.e., in the intuitionistic fuzzy metric spaces (briefly, IFMS). Furthermore, we also examine the concept of Wijsman J∗–Cauchy and J–Cauchy sequence in the intuitionistic fuzzy metric space ...
Ayhan Esi +4 more
wiley +1 more source