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Axioms, Volume 12, Issue 8

August 2023 - 82 articles

Cover Story: Omega rings and related algebraic structures are defined on crisp algebras, using a lattice-valued equality instead of the classical one. This approach addresses real-world data issues including corruption or incompleteness. For each problem, a specific lattice-based generalized equality is formulated. The paper introduces and analyzes Omega ideals, establishing connections with Omega congruences and homomorphisms. Omega fields are also constructed. The key insight involves embedding classical algebraic structures (groups, rings, etc.) within specific cut-quotient structures in Omega frameworks. An application is demonstrated through an approximate solution framework for linear equations over Omega fields. This method utilizes cut structures to find solutions in cases where traditional algorithms fail due to data problems and a lack of structural properties. View this paper
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Articles (82)

  • Article
  • Open Access
24 Citations
1,910 Views
15 Pages

Further Accurate Numerical Radius Inequalities

  • Tariq Qawasmeh,
  • Ahmad Qazza,
  • Raed Hatamleh,
  • Mohammad W. Alomari and
  • Rania Saadeh

21 August 2023

The goal of this study is to refine some numerical radius inequalities in a novel way. The new improvements and refinements purify some famous inequalities pertaining to Hilbert space operators numerical radii. The inequalities that have been demonst...

  • Article
  • Open Access
4 Citations
1,201 Views
25 Pages

20 August 2023

The goal of this paper is to investigate the existence and uniqueness of pseudo S-asymptotically periodic mild solutions for a class of neutral fractional evolution equations with finite delay. We essentially use the fractional powers of closed linea...

  • Article
  • Open Access
4 Citations
1,334 Views
15 Pages

19 August 2023

The main purpose of this research paper is to discuss the solution of the singular two-dimensional pseudoparabolic equation by employing the double Sumudu-generalized Laplace transform decomposition method (DSGLTDM). We establish two theorems related...

  • Article
  • Open Access
4 Citations
1,360 Views
21 Pages

Countably Generated Algebras of Analytic Functions on Banach Spaces

  • Zoriana Novosad,
  • Svitlana Vasylyshyn and
  • Andriy Zagorodnyuk

18 August 2023

In the paper, we study various countably generated algebras of entire analytic functions on complex Banach spaces and their homomorphisms. Countably generated algebras often appear as algebras of symmetric analytic functions on Banach spaces with res...

  • Article
  • Open Access
21 Citations
3,923 Views
13 Pages

17 August 2023

Investment management is a common process and practice used for achieving a desirable investment goal or outcome. Unfortunately, the systematic variation of economic situations in the marketplace effects the continuous and frequent change of investme...

  • Article
  • Open Access
9 Citations
1,765 Views
17 Pages

η-Ricci–Yamabe Solitons along Riemannian Submersions

  • Mohd Danish Siddiqi,
  • Fatemah Mofarreh,
  • Mehmet Akif Akyol and
  • Ali H. Hakami

17 August 2023

In this paper, we investigate the geometrical axioms of Riemannian submersions in the context of the η-Ricci–Yamabe soliton (η-RY soliton) with a potential field. We give the categorization of each fiber of Riemannian submersion as an &...

  • Article
  • Open Access
1 Citations
1,413 Views
11 Pages

A Generalized Convexity and Inequalities Involving the Unified Mittag–Leffler Function

  • Ghulam Farid,
  • Hafsa Tariq,
  • Ferdous M. O. Tawfiq,
  • Jong-Suk Ro and
  • Saira Zainab

17 August 2023

This article aims to obtain inequalities containing the unified Mittag–Leffler function which give bounds of integral operators for a generalized convexity. These findings provide generalizations and refinements of many inequalities. By setting...

  • Article
  • Open Access
4 Citations
1,530 Views
18 Pages

Almost Ćirić Type Contractions and Their Applications in Complex Valued b-Metric Spaces

  • Muhammad Sarwar,
  • Syed Khayyam Shah,
  • Zoran D. Mitrović,
  • Aiman Mukheimer and
  • Nabil Mlaiki

16 August 2023

In this article, we present the use of a unique and common fixed point for a pair of mappings that satisfy certain rational-type inequalities in complex-valued b-metric spaces. We also provide applications related to authenticity concerns in integral...

  • Article
  • Open Access
4 Citations
1,507 Views
19 Pages

Extropy Based on Concomitants of Order Statistics in Farlie-Gumbel-Morgenstern Family for Random Variables Representing Past Life

  • Muhammed Rasheed Irshad,
  • Krishnakumar Archana,
  • Amer Ibrahim Al-Omari,
  • Radhakumari Maya and
  • Ghadah Alomani

16 August 2023

In this paper, we refined the concept of past extropy measure for concomitants of order statistics from Farlie-Gumbel-Morgenstern family. In addition, cumulative past extropy measure and dynamic cumulative past extropy measure for concomitant of rth...

  • Article
  • Open Access
7 Citations
2,795 Views
18 Pages

16 August 2023

Our investigation is devoted to examining the existence, uniqueness, and multiplicity of positive solutions for a system of Hadamard fractional differential equations. This system is defined on an infinite interval and is subject to coupled nonlocal...

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Axioms - ISSN 2075-1680