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Local convergence of a fifth convergence order method in Banach space
Arab Journal of Mathematical Sciences, 2017 We provide a local convergence analysis for a fifth convergence order method to find a solution of a nonlinear equation in a Banach space. In our paper the sufficient convergence conditions involve only hypotheses on the first Fréchet-derivative ...
Ioannis K. Argyros, Santhosh George
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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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Multiple Fano resonance excitation of all-dielectric nanoholes cuboid arrays in near infrared region
Results in Physics, 2021 High Q factor multiple Fano resonance excitation in all-dielectric metasurfaces has become an effective mode to design high performance optical devices.
Shilin Yu +5 more
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IEEE Photonics Journal, 2023 Combining with the bound states in the continuum (BICs) theory in all-dielectric metasurfaces has become an extensively used method to excite multiple high quality(Q) factor Fano resonances, which remarkably enhance the performance of structures to be ...
Yan Shi +4 more
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Statistical and Ideal Convergences in Topology
Mathematics, 2023 The notion of convergence wins its own important part in the branch of Topology. Convergences in metric spaces, topological spaces, fuzzy topological spaces, fuzzy metric spaces, partially ordered sets (in short, posets), and fuzzy ordered sets (in short,
D. Georgiou, G. Prinos, F. Sereti
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Mathematics, 2023 The increasing significance of theorem proving-based formalization in mathematics and computer science highlights the necessity for formalizing foundational mathematical theories. In this work, we employ the Coq interactive theorem prover to methodically
Dakai Guo, Wensheng Yu
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Space Weather, 2023 An intelligent Spread‐F image detection and classification method is presented in this paper based on an ionogram image set using deep learning models.
Zheng Wang +7 more
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Statistical Convergence in Function Spaces [PDF]
Abstract and Applied Analysis, 2011 We study statistical versions of several classical kinds of convergence of sequences of functions between metric spaces (Dini, Arzelà, and Alexandroff) in different function spaces. Also, we discuss a statistical approach to recently introduced notions of strong uniform convergence and exhaustiveness.
CASERTA, Agata +2 more
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Convergence S-compactifications
Applied General Topology, 2014 Properties of continuous actions on convergence spaces are investigated. The primary focus is the characterization as to when a continuous action on a convergence space can be continuously extended to an action on a compactification of the convergence ...
Bernd Losert, Gary Richardson
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REGULAR CONVERGENCE SPACES [PDF]
Korean Journal of Mathematics, 2013 Summary: In this paper, I introduce the notion of regular convergence space and give some properties of this space. And I give some conditions for the regularity of continuous convergence structure.
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