Results 21 to 30 of about 5,139,014 (234)
Some Properties of Fuzzy Quasimetric Spaces
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
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Set-open topologies on function spaces
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
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Vectorial Ekeland Variational Principles and Inclusion Problems in Cone Quasi-Uniform Spaces
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
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Spectral problem for the sixth order nonclassical differential equations
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
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Penetration of non-uniform electromagnetic field into conducting body
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
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Convexity in quasi-metric spaces [PDF]
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
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Quasi-uniform completions of partially ordered spaces [PDF]
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
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Order compatibility for Cauchy spaces and convergence spaces
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
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Some Invariant Properties of Quasi-Möbius Maps
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
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General multivariate arctangent function activated neural network approximations
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
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