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Afrika Matematika最新文献

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Novel common fixed point results for multivalued mappings and a new faster iterative scheme 一种新的多值映射的公共不动点结果和更快的迭代算法
IF 0.9
Afrika Matematika Pub Date : 2025-04-07 DOI: 10.1007/s13370-025-01301-0
Youssef Touail, Amine Jaid, Driss El Moutawakil
{"title":"Novel common fixed point results for multivalued mappings and a new faster iterative scheme","authors":"Youssef Touail,&nbsp;Amine Jaid,&nbsp;Driss El Moutawakil","doi":"10.1007/s13370-025-01301-0","DOIUrl":"10.1007/s13370-025-01301-0","url":null,"abstract":"<div><p>In the present work, we prove some common fixed point theorems for a pair of multivalued mappings via an auxiliary function, denoted as <span>(beta )</span>. Our results are proved without employing neither the uniform convexity nor the compactness of the space. At the end of the paper, we study the convergence of an iterative process involving multivalued mappings. Under different conditions, our scheme converges faster than existing ones in the literature, which is always preferred in practice.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 2","pages":""},"PeriodicalIF":0.9,"publicationDate":"2025-04-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s13370-025-01301-0.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143793061","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
General stability result of a thermoelastic laminated beam with Coleman-Gurtin law for the heat flux 热通量采用科尔曼-古尔丁定律的热弹性层叠梁的一般稳定性结果
IF 0.9
Afrika Matematika Pub Date : 2025-04-07 DOI: 10.1007/s13370-025-01304-x
Adel M. Al-Mahdi
{"title":"General stability result of a thermoelastic laminated beam with Coleman-Gurtin law for the heat flux","authors":"Adel M. Al-Mahdi","doi":"10.1007/s13370-025-01304-x","DOIUrl":"10.1007/s13370-025-01304-x","url":null,"abstract":"<div><p>We consider a thermoelastic laminated beam where the heat flux is given by the Coleman-Gurtin’s law. That is </p><div><div><span>$$begin{aligned} tau q(t)+(1-alpha )theta _{x}+alpha int _{0}^{infty } Psi (s)theta _{x}(x, t-s)ds=0,qquad alpha in (0, 1), end{aligned}$$</span></div></div><p>where <span>(theta )</span> is the temperature supposed to be known for negative times. <span>(Psi )</span> is the convolution thermal kernel, nonnegative bounded, and convex summable function on <span>([0, infty ))</span> and belongs to a wide class of relaxation function satisfies the unitary total mass and some additional properties that will be specified in the paper. By using the well-known Dafermos history framework and constructing a suitable Lyapunov functional, we establish general decay results for which the exponential and polynomial decay rates are special cases, depending on some assumptions on the relaxation function and the wave speeds of the system. The result obtained is new and substantially improves earlier results in the literature.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 2","pages":""},"PeriodicalIF":0.9,"publicationDate":"2025-04-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143793198","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
Maps of (*)-derivation-type on sums of triple products on (*)-algebras (*) -代数上三重积和上的(*) -导型映射
IF 0.9
Afrika Matematika Pub Date : 2025-04-07 DOI: 10.1007/s13370-025-01299-5
João Carlos da Motta Ferreira, Maria das Graças Bruno Marietto
{"title":"Maps of (*)-derivation-type on sums of triple products on (*)-algebras","authors":"João Carlos da Motta Ferreira,&nbsp;Maria das Graças Bruno Marietto","doi":"10.1007/s13370-025-01299-5","DOIUrl":"10.1007/s13370-025-01299-5","url":null,"abstract":"<div><p>Let <span>(mathcal {M})</span> be a unital prime complex <span>(*)</span>-algebra having a non-trivial projection. In this paper, we proved that every <span>(*)</span>-derivation-type map <span>(Phi :mathcal {M}rightarrow mathcal {M})</span> on sum of triple products <span>(alpha _{1} abc+alpha _{2} a^{*}cb^{*}+alpha _{3} bac +alpha _{4} ca^{*}b^{*}+alpha _{5} bca+alpha _{6} cb^{*}a^{*},)</span> where the scalars <span>({alpha _{k}}_{k=1}^{6})</span> are rational numbers satisfying some conditions, is an additive <span>(*)</span>-derivation. An application of the main result is also presented.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 2","pages":""},"PeriodicalIF":0.9,"publicationDate":"2025-04-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143793060","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
Assessing loan eligibility through correlation matrix approximation for credit estimation 通过信用估计的相关矩阵近似来评估贷款资格
IF 0.9
Afrika Matematika Pub Date : 2025-04-07 DOI: 10.1007/s13370-025-01303-y
Hajar A. Alshaikh, Suliman S. Al-Homidan
{"title":"Assessing loan eligibility through correlation matrix approximation for credit estimation","authors":"Hajar A. Alshaikh,&nbsp;Suliman S. Al-Homidan","doi":"10.1007/s13370-025-01303-y","DOIUrl":"10.1007/s13370-025-01303-y","url":null,"abstract":"<div><p>The correlation problem is a central focus in statistical analysis and data science, as it aims to quantify the relationships between variables. This paper explores efficient methods for approximating correlation matrices to assess loan eligibility for bank customers. We propose a novel algorithm that utilizes advanced optimization techniques to minimize the difference between actual noisy matrices and approximated correlation matrices. The algorithm is designed for large-scale correlation matrices, such as those with thousands of variables, and employs the interior point primal-dual path-following method. We provide a comprehensive comparative analysis of our methods and the commonly used modified alternating projection method, evaluating their efficacy and computational efficiency based on numerical results.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 2","pages":""},"PeriodicalIF":0.9,"publicationDate":"2025-04-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143793062","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 the (mathbf {RBV_{(p,alpha )}^{0}([a,b])}) variation space as the dual space of (mathbf {L_{(p,alpha )}([a,b])}) 在 (mathbf {RBV_{(p,alpha )}^{0}([a,b])}) 变化空间作为 (mathbf {L_{(p,alpha )}([a,b])}) 的对偶空间上
IF 0.9
Afrika Matematika Pub Date : 2025-04-07 DOI: 10.1007/s13370-025-01280-2
René Erlin Castillo, Eduard Trousselot
{"title":"On the (mathbf {RBV_{(p,alpha )}^{0}([a,b])}) variation space as the dual space of (mathbf {L_{(p,alpha )}([a,b])})","authors":"René Erlin Castillo,&nbsp;Eduard Trousselot","doi":"10.1007/s13370-025-01280-2","DOIUrl":"10.1007/s13370-025-01280-2","url":null,"abstract":"<div><p>In this paper we study some properties of the space <span>(RBV_{(p,alpha )}^{0}([a,b]))</span>. Among other, we proved that the dual space of <span>(L_{(p,alpha )}([a,b]))</span> may be identified with the space <span>(RBV_{(p,alpha )}^{0}([a,b]))</span>.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 2","pages":""},"PeriodicalIF":0.9,"publicationDate":"2025-04-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s13370-025-01280-2.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143793199","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
Lie group analysis and conservation laws for the time-fractional 3D Bateman–Burgers equation 时间分数阶三维Bateman-Burgers方程的李群分析和守恒律
IF 0.9
Afrika Matematika Pub Date : 2025-04-07 DOI: 10.1007/s13370-025-01295-9
Nida Zinat, Akhtar Hussain, A. H. Kara, F. D. Zaman
{"title":"Lie group analysis and conservation laws for the time-fractional 3D Bateman–Burgers equation","authors":"Nida Zinat,&nbsp;Akhtar Hussain,&nbsp;A. H. Kara,&nbsp;F. D. Zaman","doi":"10.1007/s13370-025-01295-9","DOIUrl":"10.1007/s13370-025-01295-9","url":null,"abstract":"<div><p>This research delves into analyzing the invariant properties and conservation laws (CLs) governing the (3+1)-dimensional (3D) time-fractional Bateman–Burgers (BB) equation, employing the Riemann Liouville (RL) fractional derivative. The fractional Lie symmetry method is employed to ascertain the symmetry attributes of this equation. Consequently, the equation is transformed into a fractional ordinary differential equation (FODE) using the Erdélyi–Kober (EK) fractional differential operator. Additionally, the paper derives new conserved vectors for the 3D time-fractional BB equation using the formal Lagrangian and a detailed derivation based on the new conservation theorem. The explicit solutions and their stability are also examined and analyzed.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 2","pages":""},"PeriodicalIF":0.9,"publicationDate":"2025-04-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143793065","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
LRDP: an R package implementing a new class of decompositions for orthogonal matrices LRDP：一个R包，实现了正交矩阵的一类新的分解
IF 0.9
Afrika Matematika Pub Date : 2025-04-07 DOI: 10.1007/s13370-025-01283-z
Luca Bagnato, Antonio Punzo
{"title":"LRDP: an R package implementing a new class of decompositions for orthogonal matrices","authors":"Luca Bagnato,&nbsp;Antonio Punzo","doi":"10.1007/s13370-025-01283-z","DOIUrl":"10.1007/s13370-025-01283-z","url":null,"abstract":"<div><p>Decompositions of an orthogonal matrix <span>(varvec{Q})</span> are valuable on their own and play a crucial role in statistics by simplifying the often challenging estimation of <span>(varvec{Q})</span> when it is part of a model or method. It’s important to note that, in some cases, any orthogonal matrix generated by permuting and/or flipping the signs of the columns of <span>(varvec{Q})</span> is sufficient; principal component analysis (PCA) is one such example. With this in mind, we propose a decomposition of <span>(varvec{Q})</span>, called LRDP, which allows control over the order and the sign of the columns. Due to its structure, our proposal enables the definition of simplified decompositions that can reproduce <span>(varvec{Q})</span> up to a permutation of the columns (LRD decomposition), up to a sign flip of the columns (LRP decomposition), or up to both (LR decomposition). Additionally, we introduce <b>LRDP</b>, an <span>R</span> package provided as supplementary material, specifically designed to implement our decomposition. We illustrate its functionality using a benchmark dataset from the PCA literature.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 2","pages":""},"PeriodicalIF":0.9,"publicationDate":"2025-04-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s13370-025-01283-z.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143793067","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
Nested n-radical fuzzy general hyperideals 嵌套n根模糊一般超群
IF 0.9
Afrika Matematika Pub Date : 2025-04-07 DOI: 10.1007/s13370-025-01293-x
Mohammad Hamidi
{"title":"Nested n-radical fuzzy general hyperideals","authors":"Mohammad Hamidi","doi":"10.1007/s13370-025-01293-x","DOIUrl":"10.1007/s13370-025-01293-x","url":null,"abstract":"<div><p>The purpose of this paper is to introduce the notion of nested (additive)<i>n</i>-radical fuzzy subsets in general Krasner hyperrings and to analyze some conditions such as fuzzy general Krasner hyperideals in general Krasner hyperrings. To realize the article’s goals, we introduce a concept of (additive)<i>n</i>-radical subsets and show how to be a general Krasner hyperideal in general Krasner hyperrings. The main method, in this research, is based on level subsets that are related between <i>n</i>-radical general Krasner hyperideals and <i>n</i>-radical fuzzy general Krasner hyperideals. As a result of the research, is construction of nested <i>n</i>-radical fuzzy general Krasner hyperideals via the power of fuzzy Krasner hyperideals based on the hyperproduct of fuzzy general Krasner hyperideals. The paper includes implications for the development of prime fuzzy general Krasner hyperideals, such that extends prime fuzzy general Krasner hyperideals to the concept of radical fuzzy general Krasner hyperideals. The new conception of nested <i>n</i>-radical fuzzy general Krasner hyperideals was given for the first time in this paper. Also, we find a method that can compute the <i>n</i>-radical fuzzy general Krasner hyperideals via the maximum triangular conorm and fuzzy values, for simplicity.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 2","pages":""},"PeriodicalIF":0.9,"publicationDate":"2025-04-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143793058","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
Generalized almost periodic functions with values in ordered Banach spaces 有序巴拿赫空间中具有值的广义概周期函数
IF 0.9
Afrika Matematika Pub Date : 2025-04-07 DOI: 10.1007/s13370-025-01298-6
M. Kostić
{"title":"Generalized almost periodic functions with values in ordered Banach spaces","authors":"M. Kostić","doi":"10.1007/s13370-025-01298-6","DOIUrl":"10.1007/s13370-025-01298-6","url":null,"abstract":"<div><p>In this paper, we analyze some classes of generalized almost periodic functions with values in ordered Banach spaces. The main structural characterizations for the introduced classes of almost periodic functions are established. We also present some applications of our results to the abstract Volterra integro-differential equations in ordered Banach spaces.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 2","pages":""},"PeriodicalIF":0.9,"publicationDate":"2025-04-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143793066","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
The best constants in some new sharp bounds for sinc function 在sinc函数的新边界上的最佳常数
IF 0.9
Afrika Matematika Pub Date : 2025-04-07 DOI: 10.1007/s13370-025-01288-8
Branko Malešević, Miloš Mićović, Bojana Mihailović, Tatjana Lutovac, Vesna Šešum-Čavić
{"title":"The best constants in some new sharp bounds for sinc function","authors":"Branko Malešević,&nbsp;Miloš Mićović,&nbsp;Bojana Mihailović,&nbsp;Tatjana Lutovac,&nbsp;Vesna Šešum-Čavić","doi":"10.1007/s13370-025-01288-8","DOIUrl":"10.1007/s13370-025-01288-8","url":null,"abstract":"<div><p>In this paper, some bounds of the <span>(text {sinc})</span> function from Huy et al. (Afr Mat 35:1–13, 2024) are generalised by introducing real parameters. These generalisations are based on the concept of stratification. Additionally, the best real values of the introduced parameters for which the corresponding inequalities hold are determined.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 2","pages":""},"PeriodicalIF":0.9,"publicationDate":"2025-04-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143793059","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
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