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On strong subalgebras of RM algebras
IF 0.9
Afrika Matematika Pub Date : 2025-01-27 DOI: 10.1007/s13370-025-01262-4
Grzegorz Dymek
{"title":"On strong subalgebras of RM algebras","authors":"Grzegorz Dymek","doi":"10.1007/s13370-025-01262-4","DOIUrl":"10.1007/s13370-025-01262-4","url":null,"abstract":"<div><p>The notion of an RM algebra is a generalization of many other algebras of logic. The class of RM algebras contains, for example, BE and BCK algebras. In this paper, there are studied strong subalgebras of an RM algebra. Among other things there is shown that in an RM algebra any strong subalgebra is a subalgebra, the intersection and the union of any strong subalgebras are still strong subalgebras and the set of all strong subalgebras is a complete distributive lattice. Moreover, characterizations of BE algebras in the class of RME algebras and BCK algebras in the class of BCI algebras are also given.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2025-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143109439","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
Connectivity on multi-pretopological structures and decision-making for COVID-19
IF 0.9
Afrika Matematika Pub Date : 2025-01-27 DOI: 10.1007/s13370-025-01248-2
H. Saber Osman, E. El-Seidy, A. E. Radwan, A. M. Kozae, S. A. El-Sheikh, Ab̧delfattah El-Atik
{"title":"Connectivity on multi-pretopological structures and decision-making for COVID-19","authors":"H. Saber Osman,&nbsp;E. El-Seidy,&nbsp;A. E. Radwan,&nbsp;A. M. Kozae,&nbsp;S. A. El-Sheikh,&nbsp;Ab̧delfattah El-Atik","doi":"10.1007/s13370-025-01248-2","DOIUrl":"10.1007/s13370-025-01248-2","url":null,"abstract":"<div><p>Pretopology and multisets have an essential role in mathematics, especially, in some real-life applications. This paper aims to establish a recombination between multisets and pretopology. In addition, some new types of multi-pretopological structures are constructed and some of their properties are investigated. Multi-pre-open sets and multi-pre-closure operator are investigated. Moreover, for the isotonic multi-pretopological structures, and the multi-pre-minimal closed subsets are introduced and studied. Also, the concept of m-pre-connected structures are established as an application of given results and some types of strongly connected structures are investigated. Finally, the effect of multisets in medical information systems has been studied.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2025-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s13370-025-01248-2.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143109524","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
A simulation function approach for (phi )-fixed point with an application to the non-linear integral equation
IF 0.9
Afrika Matematika Pub Date : 2025-01-27 DOI: 10.1007/s13370-025-01265-1
Farah Rashidi, Maryam Shams
{"title":"A simulation function approach for (phi )-fixed point with an application to the non-linear integral equation","authors":"Farah Rashidi,&nbsp;Maryam Shams","doi":"10.1007/s13370-025-01265-1","DOIUrl":"10.1007/s13370-025-01265-1","url":null,"abstract":"<div><p>This paper introduces the concept of a simulation function and <i>Z</i>-contraction within a Menger probabilistic metric space. Control functions are integrated with <i>Z</i>-contraction to establish several <span>(phi )</span>-fixed point results. Additionally, multiple examples are provided to demonstrate the applicability of the main theorems, including one that does not conform to the Banach contraction principle. Finally, the existence of a solution to a system of integral equations is explored.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2025-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143109436","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
Neutrosophic statistical convergence in Neutrosophic topology
IF 0.9
Afrika Matematika Pub Date : 2025-01-27 DOI: 10.1007/s13370-025-01274-0
Carlos Granados
{"title":"Neutrosophic statistical convergence in Neutrosophic topology","authors":"Carlos Granados","doi":"10.1007/s13370-025-01274-0","DOIUrl":"10.1007/s13370-025-01274-0","url":null,"abstract":"<div><p>In this paper, we introduce and investigate neutrosophic statistical convergence in neutrosophic topological space. Also, we show some principal results and basic relations among concepts defined in the paper are presented.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2025-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143109438","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 Thabit and Williams numbers base b as sum or difference of Fibonacci and Mulatu numbers and vice versa
IF 0.9
Afrika Matematika Pub Date : 2025-01-27 DOI: 10.1007/s13370-025-01266-0
Kouèssi Norbert Adédji, Mohamadou Bachabi, Alain Togbé
{"title":"On Thabit and Williams numbers base b as sum or difference of Fibonacci and Mulatu numbers and vice versa","authors":"Kouèssi Norbert Adédji,&nbsp;Mohamadou Bachabi,&nbsp;Alain Togbé","doi":"10.1007/s13370-025-01266-0","DOIUrl":"10.1007/s13370-025-01266-0","url":null,"abstract":"<div><p>Let <span>(left( F_nright) _{n ge 0})</span> and <span>(left( M_nright) _{n ge 0})</span> be the Fibonacci and Mulatu sequences. Let <i>b</i> be a positive integer such that <span>(bge 2.)</span> In this paper, we prove that the following Diophantine equation </p><div><div><span>$$begin{aligned} F_n+epsilon M_m=rho left( (bpm 1)b^{ell }pm 1right) , end{aligned}$$</span></div></div><p>where <span>((epsilon , rho )in {(1, 1), (-1, 1), (-1, -1)})</span> have only finitely many solutions in non-negative integers <i>n</i>,  <i>m</i>,  <i>b</i> and positive integer <span>(ell .)</span> Additionally, we present a method to determine all solutions within the range <span>(2 le b le 12.)</span> All this is done using linear forms in logarithms of algebraic numbers and Dujella–Pethő’s reduction method.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2025-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143109437","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
Applications of the normalized Le Roy-type Mittag-Leffler function on partial sums of analytic functions
IF 0.9
Afrika Matematika Pub Date : 2025-01-27 DOI: 10.1007/s13370-025-01272-2
Basem Aref Frasin, Sercan Kazımoğlu
{"title":"Applications of the normalized Le Roy-type Mittag-Leffler function on partial sums of analytic functions","authors":"Basem Aref Frasin,&nbsp;Sercan Kazımoğlu","doi":"10.1007/s13370-025-01272-2","DOIUrl":"10.1007/s13370-025-01272-2","url":null,"abstract":"<div><p>In the present study, our main aim is to give lower bounds for the ratio of some the normalized Le Roy-type Mittag-Leffler function and their sequences of partial sums, as well as for the quotients of the derivative of the normalized Le Roy-type Mittag-Leffler function and their partial sums. In addition, some applications related to the obtained results are given. In view of the importance of these results, their geometric interpretation of the image domain is also included.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2025-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143109523","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
Characterizations of regular ordered semihyperrings by their quasi-hyperideals
IF 0.9
Afrika Matematika Pub Date : 2025-01-25 DOI: 10.1007/s13370-025-01258-0
Warud Nakkhasen, Bundit Pibaljommee
{"title":"Characterizations of regular ordered semihyperrings by their quasi-hyperideals","authors":"Warud Nakkhasen,&nbsp;Bundit Pibaljommee","doi":"10.1007/s13370-025-01258-0","DOIUrl":"10.1007/s13370-025-01258-0","url":null,"abstract":"<div><p>We investigate some properties of quasi-hyperideals and show that quasi-hyperideals and bi-hyperideals coincide in regular ordered semihyperrings. Furthermore, we give characterizations of regular ordered semihyperrings, regular duo ordered semihyperrings and left (resp. right) regular ordered semihyperrings by their quasi-hyperideals.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2025-01-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143109683","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 new characterization of normal magnetic particles by inextensible flows
IF 0.9
Afrika Matematika Pub Date : 2025-01-24 DOI: 10.1007/s13370-025-01273-1
Talat Körpinar
{"title":"A new characterization of normal magnetic particles by inextensible flows","authors":"Talat Körpinar","doi":"10.1007/s13370-025-01273-1","DOIUrl":"10.1007/s13370-025-01273-1","url":null,"abstract":"<div><p>In this work, we investigate inextensible flows of normal magnetic particles in space. Therefore, we obtain new results for inextensible flows of normal magnetic particles in space. Finally, we illustrate our main results.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2025-01-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143109098","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
Classical and Bayesian estimation of the reliability characteristics for logistic-exponential distribution logistic-指数分布可靠性特征的经典估计和贝叶斯估计
IF 0.9
Afrika Matematika Pub Date : 2025-01-22 DOI: 10.1007/s13370-025-01250-8
Abhimanyu Singh Yadav, Mahendra Saha, Sanku Dey
{"title":"Classical and Bayesian estimation of the reliability characteristics for logistic-exponential distribution","authors":"Abhimanyu Singh Yadav,&nbsp;Mahendra Saha,&nbsp;Sanku Dey","doi":"10.1007/s13370-025-01250-8","DOIUrl":"10.1007/s13370-025-01250-8","url":null,"abstract":"<div><p>The basic tool for studying the ageing and associated characteristics of any lifetime equipments is the reliability/survival function. It is common practice that while estimating the parameters of a model, one usually adopt maximum likelihood estimation method as the starting point as a classical method of estimation. In this paper, we consider maximum product of spacing estimation, besides using maximum likelihood method for estimating the reliability characteristics, such as, mean time to system failure (MTSF), reliability function (RF) and hazard rate function (HF) at a specified time point <span>(t_0)</span> for logistic-exponential distribution. In addition, three bootstrap methods are considered for obtaining confidence intervals of MTSF, RT and HF. Besides, Bayesian estimation method is considered under symmetric as well as asymmetric loss functions using gamma priors for both shape and scale parameters for the considered model. Further, highest posterior density credible intervals are obtained by using a Markov chain Monte Carlo method with Gibbs sampler under Metropolis–Hastings sampling procedure. Average widths and coverage probabilities for each confidence intervals are computed. A Monte Carlo simulation study is carried out to compare the performance of the proposed estimates. Finally, two real data sets have been re-analyzed for illustrative purposes.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2025-01-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142995762","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 k-uniformly starlike convex functions associated with (j, m)-ply symmetric points 关于与（j, m）层对称点相关的k-均匀星形凸函数
IF 0.9
Afrika Matematika Pub Date : 2025-01-22 DOI: 10.1007/s13370-025-01254-4
Ebrahim Amini, Shrideh Al-Omari
{"title":"On k-uniformly starlike convex functions associated with (j, m)-ply symmetric points","authors":"Ebrahim Amini,&nbsp;Shrideh Al-Omari","doi":"10.1007/s13370-025-01254-4","DOIUrl":"10.1007/s13370-025-01254-4","url":null,"abstract":"<div><p>In this paper, we aim to discuss several results associated with conical domains and some general properties. By utilizing some conical sections, we introduce a new class of analytic functions with respect to (<i>j</i>, <i>m</i>)-ply symmetric points, <span>(j=0,1,ldots ,m-1)</span> and <span>(m in mathbb {N})</span>. Also, we formulate certain <i>k</i>-uniformly convex starlike functions influenced by the principle of the differential subordinations. In addition, we derive coefficient bounds for various functions in the given classes of analytic functions and evaluate certain sufficiency criteria in a form of convolutions. Over and above, we derive interesting results involving starlike functions as well.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2025-01-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142995761","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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