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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On generalizations of fuzzy metric spaces [PDF]
summary:The aim of the paper is to present three-variable generalizations of fuzzy metric spaces in sense of George and Veeramani from functional and topological points of view, respectively.
Shi, Yi, Yao, Wei
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Sequence spaces and asymmetric norms in the theory of computational complexity
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
García-Raffi, L. M. +2 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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Computing Optimal Distances to Pareto Sets of Multi-Objective Optimization Problems in Asymmetric Normed Lattices [PDF]
[EN] Given a finite dimensional asymmetric normed lattice, we provide explicit formulae for the optimization of the associated (non-Hausdorff) asymmetric distance among a subset and a point.
Blasco, Xavier +3 more
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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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Hydrogen‐Bond–Driven Ion Retention in Electrolyte‐Gated Synaptic Transistors
Anion molecular design governs ion–polymer interactions in electrolyte‐gated synaptic transistors. Asymmetric anions induce hydrogen‐bond interactions that suppress ion back‐diffusion and stabilize doping, enabling enhanced nonvolatile synaptic properties.
Donghwa Lee +5 more
wiley +1 more source
3D Printing Innovations in Polymeric Porous and Patterned Architecture
Polymeric foams occupy a unique structural space between dense solids and open networks, where engineered void fraction governs mechanical compliance, thermal resistance, and mass transport. Additive manufacturing now enables precise spatial control over cellular architecture, unlocking designer foam structures across applications spanning crash ...
Dhanush Patil +13 more
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Designed Lewis Acid–Base Passivation for High Performance Perovskite Solar Cells
ABSTRACT Silicon's high cost and long energy payback time remain major barriers to the global expansion of solar power. In contrast, metal–halide perovskites offer abundant, solution‐processable absorbers, and have achieved efficiencies of 25%–30%, positioning them as strong competitors to silicon.
Afna Manaf +4 more
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