Results 21 to 30 of about 4,215,345 (221)
Best approximation in spaces with asymmetric norm
In this paper we shall present some results on spaces with asymmetric seminorms, with emphasis on best approximation problems in such spaces.
Ştefan Cobzaş, Costică Mustăţa
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Separation axioms and covering dimension of asymmetric normed spaces [PDF]
In this paper, we approach the question if some of the separation axioms are equivalent in the class of asymmetric normed spaces. In particular, we make a remark on a known theorem which states that every $T_1$ asymmetric normed space with compact closed unit ball must be finite-dimensional.
Donjuán, Victor, Jonard-Pérez, Natalia
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Sequence spaces and asymmetric norms in the theory of computational complexity
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García-Raffi, L. M. +2 more
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Local compactness in right bounded asymmetric normed spaces [PDF]
We characterize the finite dimensional asymmetric normed spaces which are right bounded and the relation of this property with the natural compactness properties of the unit ball, as compactness and strong compactness. In contrast with some results found in the existing literature, we show that not all right bounded asymmetric norms have compact closed
Jonard Pérez,Natalia +1 more
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Local Antisymmetric Connectedness in Asymmetrically Normed Real Vector Spaces
In this paper, some properties of locally antisymmetrically connected spaces which are the localized version of the antisymmetrically connected $T_0$-quasi-metric spaces constructed as the natural counterparts of connected complementary graphs, are presented in terms of asymmetric norms.
Nezakat JAVANSHIR, Filiz YILDIZ
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Bipolar Theorem and Some of Its Applications in Fuzzy Quasi-Normed Space
The classical bipolar theorem plays an important role in functional analysis. This paper generalizes this theorem to fuzzy quasi-normed spaces, which include asymmetric normed space and fuzzy normed space as special cases.
Jianrong Wu, Lei Hua, Zhenyu Jin
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Banach-Steinhaus theorem for linear relations on asymmetric normed spaces
We study the continuity of linear relations defined on asymmetric normed spaces with values in normed spaces. We give some geometric charactirization of these mappings. As an application, we prove the Banach-Steinhaus theorem in the framework of asymmetric normed spaces.
K. Bouadjila, A. Tallab, E. Dahia
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Building machine‐readable vocabularies for materials science is slow, expert‐driven work. This study benchmarks 13 large language models on two of its first steps: finding candidate terms in engineering articles and deciding where they belong in a class hierarchy.
Thomas Bjarsch +3 more
wiley +1 more source
The Strong Ekeland Variational Principle in Quasi-Pseudometric Spaces
Roughly speaking, Ekeland’s Variational Principle (EkVP) (J. Math. Anal. Appl. 47 (1974), 324–353) asserts the existence of strict minima of some perturbed versions of lower semicontinuous functions defined on a complete metric space.
Ştefan Cobzaş
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Compactness in asymmetric quasi normed spaces
In this paper it is represented a study of precompact and compact subsets on asymmetric quasi normed ...
Stela Çeno, Gladiola Tigno
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