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Arabian Journal of Mathematics最新文献

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A novel algorithm for strongly monotone variational inequalities with the multiple-sets split variational inequality problem constraints 具有多集分裂变分不等式问题约束的强单调变分不等式的新算法
IF 0.9
Arabian Journal of Mathematics Pub Date : 2025-11-21 DOI: 10.1007/s40065-025-00597-x
Tran Viet Anh
{"title":"A novel algorithm for strongly monotone variational inequalities with the multiple-sets split variational inequality problem constraints","authors":"Tran Viet Anh","doi":"10.1007/s40065-025-00597-x","DOIUrl":"10.1007/s40065-025-00597-x","url":null,"abstract":"<div><p>This paper introduces a new algorithm for solving strongly monotone variational inequality problems over the solution set of the multiple-sets split variational inequality problem. We prove that the algorithm converges strongly without requiring knowledge of the Lipschitz or strongly monotone constants of the mappings. Moreover, no prior information about the norm of the bounded linear operator is necessary. Special cases are discussed, and numerical examples are presented to illustrate the performance of the algorithm.</p></div>","PeriodicalId":54135,"journal":{"name":"Arabian Journal of Mathematics","volume":"15 1","pages":"67 - 87"},"PeriodicalIF":0.9,"publicationDate":"2025-11-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147560782","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
h-almost conformal (vartheta )-Ricci-Bourguignon solitons on imperfect fluid spacetimes h-几乎共形(vartheta ) -不完全流体时空上的ricci - bourguignon孤子
IF 0.9
Arabian Journal of Mathematics Pub Date : 2025-10-29 DOI: 10.1007/s40065-025-00579-z
Shahroud Azami, Uday Chand De
{"title":"h-almost conformal (vartheta )-Ricci-Bourguignon solitons on imperfect fluid spacetimes","authors":"Shahroud Azami,&nbsp;Uday Chand De","doi":"10.1007/s40065-025-00579-z","DOIUrl":"10.1007/s40065-025-00579-z","url":null,"abstract":"<div><p>This research paper aims to explore the features of <i>h</i>-almost conformal <span>(vartheta )</span>-Ricci-Bourguignon solitons and gradient <i>h</i>-almost conformal <span>(vartheta )</span>-Ricci-Bourguignon solitons within the context of generalized Robertson Walker spacetimes that include imperfect fluids. The investigation commences with a detailed definition of the unique properties associated with the potential vector field relevant to these solitons. Furthermore, we analyze the characteristics of <i>h</i>-almost conformal <span>(vartheta )</span>-Ricci-Bourguignon solitons across specific types of imperfect fluid generalized Robertson Walker spacetimes.</p></div>","PeriodicalId":54135,"journal":{"name":"Arabian Journal of Mathematics","volume":"15 1","pages":"89 - 103"},"PeriodicalIF":0.9,"publicationDate":"2025-10-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147562040","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Lie symmetry analysis and conservation laws of Kaup–Broer system for capillary waves 毛细管波kap - broer系统的Lie对称性分析及守恒定律
IF 0.9
Arabian Journal of Mathematics Pub Date : 2025-10-29 DOI: 10.1007/s40065-025-00585-1
Sarasvati Yadav,  Manish
{"title":"Lie symmetry analysis and conservation laws of Kaup–Broer system for capillary waves","authors":"Sarasvati Yadav,&nbsp; Manish","doi":"10.1007/s40065-025-00585-1","DOIUrl":"10.1007/s40065-025-00585-1","url":null,"abstract":"<div><p>This study investigates the Kaup–Broer system, a nonlinear partial differential equation model for weakly nonlinear, long shallow water waves influenced by gravity and surface tension. Through Lie symmetry analysis, we derive five infinitesimal generators of the Kaup–Broer system for capillary waves and construct an optimal system of one-dimensional subalgebras using the commutator and adjoint tables. These symmetries enable similarity reductions that transform the governing system into the system of ordinary differential equations, yielding invariant solutions. Several solutions are visualized in 3D, revealing novel wave structures such as doubly soliton profiles and parabolic cylindrical-like behavior, offering fresh insights into the capillary-gravity wave dynamics. We further discuss the self-adjointness and derive the conservation laws for each generator, reinforcing its integrability and the physical relevance. These new results not only enhance the analytical understanding of the Kaup–Broer system but also highlight its applicability in coastal engineering, fluid transport, nonlinear optics and predicting phenomena, like tsunamis and rogue waves where dispersive and capillary effects are significant.</p></div>","PeriodicalId":54135,"journal":{"name":"Arabian Journal of Mathematics","volume":"15 1","pages":"469 - 484"},"PeriodicalIF":0.9,"publicationDate":"2025-10-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147562038","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Classification of homogeneous local representations of the singular braid monoid 奇异编织群齐次局部表示的分类
IF 0.9
Arabian Journal of Mathematics Pub Date : 2025-10-29 DOI: 10.1007/s40065-025-00580-6
Taher I. Mayassi, Mohamad N. Nasser
{"title":"Classification of homogeneous local representations of the singular braid monoid","authors":"Taher I. Mayassi,&nbsp;Mohamad N. Nasser","doi":"10.1007/s40065-025-00580-6","DOIUrl":"10.1007/s40065-025-00580-6","url":null,"abstract":"<div><p>For a natural number <i>n</i>, denote by <span>(B_n)</span> the braid group on <i>n</i> strings and by <span>(SM_n)</span> the singular braid monoid on <i>n</i> strings. <span>(SM_n)</span> is one of the most important extensions of <span>(B_n)</span>. In [14], Y. Mikhalchishina classified all homogeneous 2-local representations of <span>(B_n)</span> for <span>(n ge 3)</span>. In this article, we extend the result of Mikhalchishina in two ways. First, we classify all homogeneous 3-local representations of <span>(B_n)</span> for <span>(n ge 4)</span>. Second, we classify all homogeneous 2-local representations of <span>(SM_n)</span> for <span>(nge 2)</span> and all homogeneous 3-local representations of <span>(SM_n)</span> for <span>(nge 4)</span>.</p></div>","PeriodicalId":54135,"journal":{"name":"Arabian Journal of Mathematics","volume":"15 1","pages":"307 - 329"},"PeriodicalIF":0.9,"publicationDate":"2025-10-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147562039","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On generalized (left( p,qright) )-analogues of the (alpha )-th fractional Fourier transforms and their properties 关于(alpha ) -次分数阶傅里叶变换的广义(left( p,qright) ) -类似物及其性质
IF 0.9
Arabian Journal of Mathematics Pub Date : 2025-10-29 DOI: 10.1007/s40065-025-00583-3
Shrideh Al-Omari
{"title":"On generalized (left( p,qright) )-analogues of the (alpha )-th fractional Fourier transforms and their properties","authors":"Shrideh Al-Omari","doi":"10.1007/s40065-025-00583-3","DOIUrl":"10.1007/s40065-025-00583-3","url":null,"abstract":"<div><p>This paper presents (<i>p</i>, <i>q</i>)-analogues of the <span>(alpha )</span>-th fractional Fourier transform and discusses their properties on a certain class of (<i>p</i>, <i>q</i>)-generalized functions. By introducing two (<i>p</i>, <i>q</i>)-differential operators, distributional and generalized distributional spaces of (<i>p</i>, <i>q</i>)-Boehmians are obtained. Consequently, the (<i>p</i>, <i>q</i>)-analogues of the <span>(alpha )</span>-th fractional Fourier transform are shown to be linear and continuous between the considered spaces. Further theorems associated with certain (<i>p</i>, <i>q</i>)-convolutions are then proved. Moreover, multiple identities and properties of the generalized spaces of distributions and the so-called (<i>p</i>, <i>q</i>)-Boehmians are discussed in a generalized sense. Moreover, the generalized <span>(alpha )</span>-th (<i>p</i>, <i>q</i>)-fractional Fourier transform and its general features, along with derivation of inversion formulas, are addressed.</p></div>","PeriodicalId":54135,"journal":{"name":"Arabian Journal of Mathematics","volume":"15 1","pages":"13 - 25"},"PeriodicalIF":0.9,"publicationDate":"2025-10-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147562041","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A neutrosophic multi-objective multi-item 4-dimensional fractional transportation problem 一个嗜中性的多目标多项目四维分数运输问题
IF 0.9
Arabian Journal of Mathematics Pub Date : 2025-10-22 DOI: 10.1007/s40065-025-00574-4
A. N. Revathi, Nachiappan Angappan,  Salahuddin
{"title":"A neutrosophic multi-objective multi-item 4-dimensional fractional transportation problem","authors":"A. N. Revathi,&nbsp;Nachiappan Angappan,&nbsp; Salahuddin","doi":"10.1007/s40065-025-00574-4","DOIUrl":"10.1007/s40065-025-00574-4","url":null,"abstract":"<div><p>In this study, we propose a 4-dimensional multi-item, multi-objective fractional transportation problem where the parameters operate within a Neutrosophic environment. A corresponding deterministic model for the problem is developed, where each objective’s marginal evaluation is assessed using 3 unique membership functions—truth; indeterminacy; and falsity—within the Neutrosophic framework. These evaluations are further distinguished by different types of membership functions, including linear and nonlinear, providing decision-makers with the flexibility to select the function that best meets their requirements. The proposed Neutrosophic optimization technique is tested on existing numerical problems, demonstrating its validity and practicality. The model’s effectiveness is illustrated through a numerical example, with results analyzed and discussed. In conclusion, findings are summarized, accompanied by recommendations for future research directions.</p></div>","PeriodicalId":54135,"journal":{"name":"Arabian Journal of Mathematics","volume":"15 1","pages":"349 - 364"},"PeriodicalIF":0.9,"publicationDate":"2025-10-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147560702","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Classification of social media users via generalized multilevel functional data analysis 基于广义多层次功能数据分析的社交媒体用户分类
IF 0.9
Arabian Journal of Mathematics Pub Date : 2025-10-13 DOI: 10.1007/s40065-025-00576-2
Anthony Weishampel, Ana-Maria Staicu, William Rand
{"title":"Classification of social media users via generalized multilevel functional data analysis","authors":"Anthony Weishampel,&nbsp;Ana-Maria Staicu,&nbsp;William Rand","doi":"10.1007/s40065-025-00576-2","DOIUrl":"10.1007/s40065-025-00576-2","url":null,"abstract":"<div><p>Social media platforms are powerful tools for information dissemination, but they can also be exploited by malicious actors using deceptive accounts. Detecting these accounts is crucial to mitigating their harmful impact. In this research, we develop a classification method to classify these accounts based on their posting behavior recorded over many days. We represent daily posting activity using sequences of binary values and employ functional data analysis within a hierarchical framework. The proposed methodology identifies days when the account is active (at least one post) or inactive (no posts) in a given day and uses the posting activity during the active days to extract the account-specific latent daily posting behavior for classification. Our method is computationally efficient, provides interpretable results, and accurately discriminates between types of accounts, when applied to the Twitter data. Furthermore, our methodology is generalizable and demonstrates strong performance compared to existing alternatives in simulation studies. The package implementing the method is available on GitHub at: https://github.com/acweisha/gFPCAClassif.</p></div>","PeriodicalId":54135,"journal":{"name":"Arabian Journal of Mathematics","volume":"15 1","pages":"451 - 467"},"PeriodicalIF":0.9,"publicationDate":"2025-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40065-025-00576-2.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147559319","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Weighted Berezin number inequalities for (2times 2) operator matrices (2times 2)算子矩阵的加权Berezin数不等式
IF 0.9
Arabian Journal of Mathematics Pub Date : 2025-10-13 DOI: 10.1007/s40065-025-00577-1
Messaoud Guesba, Somdatta Barik, Kallol Paul
{"title":"Weighted Berezin number inequalities for (2times 2) operator matrices","authors":"Messaoud Guesba,&nbsp;Somdatta Barik,&nbsp;Kallol Paul","doi":"10.1007/s40065-025-00577-1","DOIUrl":"10.1007/s40065-025-00577-1","url":null,"abstract":"<div><p>This article establishes new upper bounds for the weighted Berezin number of operator matrices. Specifically, we present novel inequalities for the weighted Berezin number of <span>(2times 2)</span> off-diagonal block operators. Additionally, we discuss several related results.</p></div>","PeriodicalId":54135,"journal":{"name":"Arabian Journal of Mathematics","volume":"15 1","pages":"205 - 225"},"PeriodicalIF":0.9,"publicationDate":"2025-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147559260","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Hardy’s theorem for Gabor transform on compact extensions of the Heisenberg group Heisenberg群紧扩展上Gabor变换的Hardy定理
IF 0.9
Arabian Journal of Mathematics Pub Date : 2025-10-09 DOI: 10.1007/s40065-025-00571-7
Mounir Elloumi
{"title":"Hardy’s theorem for Gabor transform on compact extensions of the Heisenberg group","authors":"Mounir Elloumi","doi":"10.1007/s40065-025-00571-7","DOIUrl":"10.1007/s40065-025-00571-7","url":null,"abstract":"<div><p>We prove in this paper an analogue of Hardy’s theorem for the Gabor transform in the setup of the semi-direct product <span>(Kltimes {mathbb {H}_n})</span>, where <i>K</i> is a compact subgroup of the group of automorphisms of the Heisenberg group <span>({mathbb {H}_n})</span>. The representation theory and Plancherel formula are the fundamental tools in the proofs.</p></div>","PeriodicalId":54135,"journal":{"name":"Arabian Journal of Mathematics","volume":"15 1","pages":"175 - 186"},"PeriodicalIF":0.9,"publicationDate":"2025-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147559483","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Advances on finite element discretization of fluid–structure interaction problems 流固耦合问题的有限元离散化研究进展
IF 0.9
Arabian Journal of Mathematics Pub Date : 2025-09-30 DOI: 10.1007/s40065-025-00570-8
Najwa Alshehri, Daniele Boffi, Fabio Credali, Lucia Gastaldi
{"title":"Advances on finite element discretization of fluid–structure interaction problems","authors":"Najwa Alshehri,&nbsp;Daniele Boffi,&nbsp;Fabio Credali,&nbsp;Lucia Gastaldi","doi":"10.1007/s40065-025-00570-8","DOIUrl":"10.1007/s40065-025-00570-8","url":null,"abstract":"<div><p>We review the main features of an unfitted finite element method for interface and fluid–structure interaction problems based on a distributed Lagrange multiplier in the spirit of the fictitious domain approach. We recall our theoretical findings concerning well-posedness, stability, and convergence of the numerical schemes, and discuss the related computational challenges. In the case of elliptic interface problems, we also present a posteriori error estimates.</p></div>","PeriodicalId":54135,"journal":{"name":"Arabian Journal of Mathematics","volume":"15 1","pages":"27 - 51"},"PeriodicalIF":0.9,"publicationDate":"2025-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40065-025-00570-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147562054","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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