Results 31 to 40 of about 285,370 (322)
Set-open topologies on function spaces
Applied 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
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QUASI-PSEUDOMETRICS ON QUASI-UNIFORM SPACES AND QUASI-METRIZATION OF TOPOLOGICAL MONOIDS [PDF]
, 2014 We define a notion of a rotund quasi-uniform space and describe a new direct construction of a (right-continuous) quasi-pseudometric on a (rotund) quasi-uniform space.
T. Banakh, A. Ravsky
semanticscholar +1 more source
On quasi-uniform space valued semi-continuous functions [PDF]
, 2009 summary:F. van Gool [Comment. Math. Univ. Carolin. {\bf 33} (1992), 505--523] has introduced the concept of lower semicontinuity for functions with values in a quasi-uniform space $(R,\Cal U)$.
Vicente, María Angeles de Prada +1 more
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Vectorial Ekeland Variational Principles and Inclusion Problems in Cone Quasi-Uniform Spaces
Abstract 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
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Spectral problem for the sixth order nonclassical differential equations
Қарағанды 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
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Penetration of non-uniform electromagnetic field into conducting body
Electrical 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
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Order compatibility for Cauchy spaces and convergence spaces
International 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
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Some Invariant Properties of Quasi-Möbius Maps
Analysis 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
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General multivariate arctangent function activated neural network approximations
Journal 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
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An amalgamation of the Banach spaces associated with James and Schreier, Part I : Banach-space structure. [PDF]
, 2010 We create a new family of Banach spaces, the James-Schreier spaces, by amalgamating two important classical Banach spaces: James' quasi-reflexive Banach space on the one hand and Schreier's Banach space giving a counterexample to the Banach-Saks property
Alistair Bird +3 more
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