Results 21 to 30 of about 5,139,014 (234)

Some Properties of Fuzzy Quasimetric Spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2010
Some properties of fuzzy quasimetric spaces are studied. We prove that the topology induced by any 0𝑥0005𝑒𝑀-complete fuzzy-quasi-space is a 0𝑥0005𝑒𝑑-complete quasimetric space. We also prove Baire's theorem, uniform limit theorem, and second countability
Abdul Mohamad
doaj   +1 more source

Set-open topologies on function spaces

open access: yesApplied General Topology, 2018
Let X and Y be topological spaces, F(X,Y) the set of all functions from X into Y and C(X,Y) the set of all continuous functions in F(X,Y). We study various set-open topologies tλ (λ ⊆ P(X)) on F(X,Y) and consider their existence, comparison and ...
Wafa Khalaf Alqurashi   +2 more
doaj   +1 more source

Vectorial Ekeland Variational Principles and Inclusion Problems in Cone Quasi-Uniform Spaces

open access: yesAbstract and Applied Analysis, 2012
Some new vectorial Ekeland variational principles in cone quasi-uniform spaces are proved. Some new equivalent principles, vectorial quasivariational inclusion principle, vectorial quasi-optimization principle, vectorial quasiequilibrium principle are ...
Jiang Zhu   +3 more
doaj   +1 more source

Spectral problem for the sixth order nonclassical differential equations

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2020
In this article we investigate the correctness of boundary value problems for a sixth order quasi-hyperbolic equation in the Sobolev space Lu = −D6t u + ∆u − λu (Dt =∂/∂t , ∆ = Σni=1∂2/∂x2i – Laplace operator, λ – real parameter). For the given operator
A.I. Kozhanov   +4 more
doaj   +1 more source

Penetration of non-uniform electromagnetic field into conducting body

open access: yesElectrical engineering & Electromechanics, 2021
The study is based on the exact analytical solution for the general conjugation problem of three-dimensional quasi-stationary field at a flat interface between dielectric and conducting media.
Yu. M. Vasetsky
doaj   +1 more source

Convexity in quasi-metric spaces [PDF]

open access: yes, 2012
Includes abstract.Includes bibliographical references.The principal aim of this thesis is to investigate the existence of an injective hull in the categories of T-quasi-metric spaces and of T-ultra-quasi-metric spaces with nonexpansive ...
Otafudu, Olivier Olela
core   +1 more source

Quasi-uniform completions of partially ordered spaces [PDF]

open access: yes, 2007
In this paper we define partially ordered quasi-uniform spaces (X, U, ≤) (PO-quasi-uniform spaces) as those spaces with a biconvex quasi-uni- formity U on the poset (X, ≤) and give a construction of a (transitive) biconvex compatible quasi-uniformity on ...
Telenta, Tanja, Buhagiar, David
core   +1 more source

Order compatibility for Cauchy spaces and convergence spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1987
A Cauchy structure and a preorder on the same set are said to be compatible if both arise from the same quasi-uniform convergence structure on X. Howover, there are two natural ways to derive the former structures from the latter, leading to “strong” and
D. C. Kent, Reino Vainio
doaj   +1 more source

Some Invariant Properties of Quasi-Möbius Maps

open access: yesAnalysis and Geometry in Metric Spaces, 2017
We investigate properties which remain invariant under the action of quasi-Möbius maps of quasimetric spaces. A metric space is called doubling with constant D if every ball of finite radius can be covered by at most D balls of half the radius.
Heer Loreno
doaj   +1 more source

General multivariate arctangent function activated neural network approximations

open access: yesJournal of Numerical Analysis and Approximation Theory, 2022
Here we expose multivariate quantitative approximations of Banach space valued continuous multivariate functions on a box or \(\mathbb{R}^{N}\), \(N\in \mathbb{N}\), by the multivariate normalized, quasi-interpolation, Kantorovich type and quadrature ...
George A. Anastassiou
doaj   +1 more source

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