Results 11 to 20 of about 961 (151)
Evolution equations in Fréchet spaces
Journal of Mathematical Sciences and Modelling, 2018 This paper deals with the existence of mild solutions for a class of evolution equations. The technique used is a generalization of the classical Darbo fixed point theorem for Fr\'{e}chet spaces associated with the concept of measure of noncompactness.
Mouffak Benchohra +3 more
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Concrete functors that respect initiality and finality
Applied General Topology, 2023 We study concrete endofunctors of the category of convergence spaces and continuous maps that send initial maps to initial maps or final maps to final maps. The former phenomenon turns out to be fairly common while the latter is rare.
Frédéric Mynard
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ℐ𝒦-SEQUENTIAL AND ℐ𝒦-FRÉCHET-URYSOHN SPACES
Проблемы анализаNotions of ℐ^𝒦-Fréchet-Urysohn and ℐ^𝒦-sequential spaces are studied by letting ideals ℐ, 𝒦 of subsets of natural numbers to play measurable role in the well-established concepts of Fréchet Urysohn and sequential spaces. Relation among those spaces in
Sima Roy, Manoranjan Singha
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Uniform Convergence and Spectra of Operators in a Class of Fréchet Spaces
Abstract and Applied Analysis, 2014 Well-known Banach space results (e.g., due to J. Koliha and Y. Katznelson/L. Tzafriri), which relate conditions on the spectrum of a bounded operator T to the operator norm convergence of certain sequences of operators generated by T, are extended to ...
Angela A. Albanese +2 more
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Controllability of mild solutions for fractional neutral evolution equations with state-dependent delay [PDF]
Archives of Control SciencesThis paper examines the controllability of mild solutions for a specific class of neutral fractional evolution equations with finite state-dependent delays in Fréchet space, employing Caputo fractional derivatives.
Selma Baghli-Bendimerad +1 more
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Advanced Science, EarlyView.TarPass provides a rigorous benchmark for target‐aware de novo molecular generation by jointly evaluating protein‐ligand interactions, molecular plausibility, and drug‐likeness on 18 well‐studied targets. Results show that current models often fail to consistently surpass random baseline in target‐specific enrichment, while post hoc multi‐tier virtual ...
Rui Qin +11 more
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Advanced Science, EarlyView.The human brain's imagination, which enables autonomous driving hazard avoidance by completing missing visual information, relies on Gaussian‐stochastic neuron. We report the altermagnetic RuO2 spintronic neurons integrating field‐free switching and intrinsic Gaussian stochasticity, building an all‐spin ANN for high‐quality image repairing and high ...
Junwei Zeng +9 more
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Fréchet Universality and Completion for F-Metric Spaces: A Generalized Metric Framework
Journal of MathematicsIn this paper, we investigate the existence of completions and Fréchet universal spaces within the framework of F-metric spaces. We show that every F-metric space has a completion and that, for any family of F-metric spaces, there exists a Fréchet ...
Nima Norouzi-Chenari +2 more
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International Journal of Mathematics and Mathematical Sciences, 1990 It is proved in [1] & [2] that a set bounded in an inductive limit E=indlim En of Fréchet spaces is also bounded in some En iff E is fast complete. In the case of arbitrary locally convex spaces En every bounded set in a fast complete indlim En is quasi ...
Jan Kucera
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Advanced Intelligent Discovery, EarlyView.AI‐BioMech is a deep learning framework that predicts the mechanical behavior of biological cellular materials directly from 2D images. By replacing traditional finite element analysis with semantic segmentation, it identifies stress and strain distributions with 99% accuracy, offering a high‐speed, scalable alternative for analyzing complex, aperiodic
Haleema Sadia +2 more
wiley +1 more source