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Axioms, Volume 13, Issue 3

March 2024 - 75 articles

Cover Story: In a famous paper published in 2008, Tomonari Suzuki provided a nice generalization of Banach’s fixed point theorem that was applied to the characterization of metric completeness. Motivated by the difficulty in obtaining a full quasi-metric extension of Suzuki’s theorem, we introduce the notion of a protected quasi-metric and show that this structure allows us to obtain a suitable generalization of Suzuki’s theorem. We also show that several non-metrizable relevant topological spaces, such as the Alexandroff-type spaces, the Sorgenfrey line, the Michael line and the Khalimsky line, can be endowed with the structure of a protected quasi-metric. Finally, we prove that protected quasi-metrics provide an efficient tool for achieving a unified study of the recurrence equations associated with various typical algorithms. View this paper
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Articles (75)

  • Article
  • Open Access
2,212 Views
17 Pages

21 March 2024

In this study, the ill-conditioning of the iterative method for nonlinear models is discussed. Due to the effectiveness of ridge estimation for ill-conditioned problems and the lack of a combination of the H-K formula with the iterative method, the i...

  • Article
  • Open Access
11 Citations
3,053 Views
16 Pages

21 March 2024

Sentiment analysis aims to study, analyse and identify the sentiment polarity contained in subjective documents. In the realm of natural language processing (NLP), the study of sentiment analysis and its subtask research is a hot topic, which has ver...

  • Feature Paper
  • Article
  • Open Access
4 Citations
2,731 Views
22 Pages

20 March 2024

The current values of many populations depend on the past values of the population. In many cases, this dependence is caused by the time certain processes take. This dependence on the past can be introduced into mathematical models by adding delays....

  • Article
  • Open Access
1,725 Views
11 Pages

Product States of Infinite Tensor Product of JC-algebras

  • Fatmah B. Jamjoom and
  • Fadwa M. Algamdei

18 March 2024

The objective of our study is to generalize the results on product states of the tensor product of two JC-algebras to infinite tensor product JC-algebras. Also, we characterize the tracial product state of the tensor product of two JC-algebras, and t...

  • Article
  • Open Access
2 Citations
1,851 Views
19 Pages

Generating Geometric Patterns Using Complex Polynomials and Iterative Schemes

  • Asifa Tassaddiq,
  • Amna Kalsoom,
  • Maliha Rashid,
  • Kainat Sehr and
  • Dalal Khalid Almutairi

18 March 2024

Iterative procedures have been proved as a milestone in the generation of fractals. This paper presents a novel approach for generating and visualizing fractals, specifically Mandelbrot and Julia sets, by utilizing complex polynomials of the form QC(...

  • Article
  • Open Access
1 Citations
1,734 Views
15 Pages

On the Two-Variable Analogue Matrix of Bessel Polynomials and Their Properties

  • Ahmed Bakhet,
  • Shahid Hussain,
  • Mohamed Niyaz,
  • Mohammed Zakarya and
  • Ghada AlNemer

17 March 2024

In this paper, we explore a study focused on a two-variable extension of matrix Bessel polynomials. We initiate the discussion by introducing the matrix Bessel polynomials involving two variables and derive specific differential formulas and recurren...

  • Article
  • Open Access
6 Citations
3,156 Views
16 Pages

Approximate and Parametric Solutions to SIR Epidemic Model

  • Lazhar Bougoffa,
  • Smail Bougouffa and
  • Ammar Khanfer

16 March 2024

This article provides a detailed exploration of the SIR epidemic model, starting with its meticulous formulation. The study employs a novel approach called the upper and lower bounds technique to approximate the solution to the SIR model, providing i...

  • Article
  • Open Access
12 Citations
3,591 Views
15 Pages

16 March 2024

This study investigates a green multimodal routing problem with soft time window. The objective of routing is to minimize the total costs of accomplishing the multimodal transportation of a batch of goods. To improve the feasibility of optimization,...

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Axioms - ISSN 2075-1680