Afrika Matematika最新文献

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Linear Diophantine fuzzy substructures of ordered semigroups 有序半群的线性 Diophantine 模糊子结构
IF 0.9
Afrika Matematika Pub Date : 2024-04-02 DOI: 10.1007/s13370-024-01175-8
M. Al Tahan, S. Al-Kaseasbeh, B. Davvaz, P. Harikrishnan
{"title":"Linear Diophantine fuzzy substructures of ordered semigroups","authors":"M. Al Tahan,&nbsp;S. Al-Kaseasbeh,&nbsp;B. Davvaz,&nbsp;P. Harikrishnan","doi":"10.1007/s13370-024-01175-8","DOIUrl":"10.1007/s13370-024-01175-8","url":null,"abstract":"<div><p>As an extension of the fuzzy set, linear Diophantine fuzzy set (LDFS) was recently introduced. In this paper, we apply the concept of LDFS in ordered semigroups by introducing some new related concepts. More precisely, we study LDF-ideals and LDF-interior ideals of ordered semigroups, illustrate non-trivial examples on each, and present some of their properties. Finally, and using LDFS, we discuss the simplicity of an ordered semigroup.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2024-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140752856","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 sharp bound of the third Hankel determinant of kth-root transformation for analytic functions 解析函数 kth-root 变换的第三个汉克尔行列式的锐界
IF 0.9
Afrika Matematika Pub Date : 2024-04-01 DOI: 10.1007/s13370-024-01174-9
Biswajit Rath, K. Sanjay Kumar, D. Vamshee Krishna, G. K. Surya Viswanadh
{"title":"The sharp bound of the third Hankel determinant of kth-root transformation for analytic functions","authors":"Biswajit Rath,&nbsp;K. Sanjay Kumar,&nbsp;D. Vamshee Krishna,&nbsp;G. K. Surya Viswanadh","doi":"10.1007/s13370-024-01174-9","DOIUrl":"10.1007/s13370-024-01174-9","url":null,"abstract":"<div><p>In this paper, we delve into the fascinating realm of analytic mappings within the open unit disc, focusing on functions that are standardly normalized. Our research is centered on determining the sharp upper bound of the third Hankel determinant for a <i>k</i>th-root transformation applied to a specific subclass of these analytic functions.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2024-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140761601","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
Connections between various subclasses of planar harmonic mappings involving Mittag-Leffler functions 涉及 Mittag-Leffler 函数的各种平面谐波映射子类之间的联系
IF 0.9
Afrika Matematika Pub Date : 2024-03-13 DOI: 10.1007/s13370-024-01171-y
Naci Taşar, F. Mūge Sakar, Basem Aref Frasin
{"title":"Connections between various subclasses of planar harmonic mappings involving Mittag-Leffler functions","authors":"Naci Taşar,&nbsp;F. Mūge Sakar,&nbsp;Basem Aref Frasin","doi":"10.1007/s13370-024-01171-y","DOIUrl":"10.1007/s13370-024-01171-y","url":null,"abstract":"<div><p>In this existing paper, we examine a connection between certain class of harmonic univalent functions with starlike and convex harmonic functions define in the open unit disk by applying the convolution operator defined by Mittag-Leffler function. Several corollaries and consequences of the main results are also obtained.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2024-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140247989","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 criterion for univalence extension 单等式扩展标准
IF 0.9
Afrika Matematika Pub Date : 2024-03-12 DOI: 10.1007/s13370-024-01172-x
Vali Soltani Masih, Hormoz Rahmatan, Seyedeh Kolsum Taheri
{"title":"A criterion for univalence extension","authors":"Vali Soltani Masih,&nbsp;Hormoz Rahmatan,&nbsp;Seyedeh Kolsum Taheri","doi":"10.1007/s13370-024-01172-x","DOIUrl":"10.1007/s13370-024-01172-x","url":null,"abstract":"<div><p>This paper presents a study on the univalence extension of a specific class of functions defined by an integral operator. The research provides sufficient conditions for determining this univalence extension, which depend on two arbitrary analytic functions defined in the unit disk, alongside three complex numbers. The main result of the study includes these functions and parameters, and by specializing them, it leads to various well-known univalent conditions. The paper showcases examples to demonstrate how these conditions can be applied.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2024-03-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s13370-024-01172-x.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140248769","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 study on the existence of a cooperative search method with reducing the first metting time between one of several nano-sensors and a Brownian particle 关于是否存在一种可缩短若干纳米传感器之一与布朗粒子之间首次相遇时间的合作搜索方法的研究
IF 0.9
Afrika Matematika Pub Date : 2024-03-12 DOI: 10.1007/s13370-024-01173-w
Mohamed Abd Allah El-Hadidy, Alaa Awad Alzulaibani
{"title":"A study on the existence of a cooperative search method with reducing the first metting time between one of several nano-sensors and a Brownian particle","authors":"Mohamed Abd Allah El-Hadidy,&nbsp;Alaa Awad Alzulaibani","doi":"10.1007/s13370-024-01173-w","DOIUrl":"10.1007/s13370-024-01173-w","url":null,"abstract":"<div><p>The coordinated search method for a one-dimensional Brownian particle in the fluid is investigated in this paper. This technique helps to remove pollutants and impurities from the fluid. To locate a Brownian particle that moves along one of n disjoint real lines, we have 2n cooperative nano-sensors coordinate their efforts such that each line contains two of them. All of these nano-sensors begin their searches at the origin. Because of random travelled distances right and left of the origin, we have a random sequence of distances on each line. Due to this uncertainty, we are able to integrate the discounted effort-reward search as a parameter in the distance function. By doing this, the expected value of the first meeting time between one of the nano-sensors and a Brownian particle will be reduced. We determine the approximate value of this expected value in addition to identifying the conditions under which it is finite. We use an example to illustrate the usefulness and application of this model.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2024-03-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142411466","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 a Lord–Shulman swelling porous thermo-elastic soils system with microtemperature effect: well-posedness and stability results 关于具有微温效应的 Lord-Shulman 膨胀多孔热弹性土壤系统:拟合良好性和稳定性结果
IF 0.9
Afrika Matematika Pub Date : 2024-02-19 DOI: 10.1007/s13370-024-01170-z
Abdelbaki Choucha, Salah Boulaaras, Rashid Jan
{"title":"On a Lord–Shulman swelling porous thermo-elastic soils system with microtemperature effect: well-posedness and stability results","authors":"Abdelbaki Choucha,&nbsp;Salah Boulaaras,&nbsp;Rashid Jan","doi":"10.1007/s13370-024-01170-z","DOIUrl":"10.1007/s13370-024-01170-z","url":null,"abstract":"<div><p>This work investigates the well-posedness and stability outcomes of the one-dimensional Cauchy problem within a system involving swelling-porous elastic soils and thermal effects. The heat conduction in this system is described by the Lord–Shulman theory. By the energy method, we establish the existence of solutions and then prove an exponential stability result under suitable hypotheses. Our results were achieved without the need for the condition of equal velocities, and it is also considered a good improvement to our work in the paper (Choucha et al. in Mathematics 11(23):4785, 2023), completely dispensing with any damping term.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2024-02-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139958682","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 direct sums and quotient spaces of near-vector spaces 论近矢量空间的直接和与商空间
IF 0.9
Afrika Matematika Pub Date : 2024-02-13 DOI: 10.1007/s13370-024-01168-7
K. -T. Howell, P. Cara, L. Wessels
{"title":"On direct sums and quotient spaces of near-vector spaces","authors":"K. -T. Howell,&nbsp;P. Cara,&nbsp;L. Wessels","doi":"10.1007/s13370-024-01168-7","DOIUrl":"10.1007/s13370-024-01168-7","url":null,"abstract":"<div><p>In this paper we study the direct sums of subspaces and some constructions of quotient spaces of near-vector spaces, as defined by André. In particular, for near-vector spaces constructed by taking copies of finite fields, we characterise the quasi-kernels of their quotient spaces, find their cardinality and determine when they are regular. In the case of non-regular quotient spaces, we show how they decompose into maximal regular subspaces. We show how the theory of finite-dimensional near-vector spaces constructed from finite fields allows us to reconstruct near-vector spaces with certain quotient spaces.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2024-02-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s13370-024-01168-7.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139840747","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
On direct sums and quotient spaces of near-vector spaces 论近矢量空间的直接和与商空间
IF 1.1
Afrika Matematika Pub Date : 2024-02-13 DOI: 10.1007/s13370-024-01168-7
K. -. Howell, P. Cara, L. Wessels
{"title":"On direct sums and quotient spaces of near-vector spaces","authors":"K. -. Howell, P. Cara, L. Wessels","doi":"10.1007/s13370-024-01168-7","DOIUrl":"https://doi.org/10.1007/s13370-024-01168-7","url":null,"abstract":"","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-02-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139780646","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
Invariant approximation in 2-banach space with $$H^{+}$$ H + mappings 带有 $$H^{+}$ H + 映射的 2-巴拿赫空间中的不变逼近
IF 1.1
Afrika Matematika Pub Date : 2024-02-09 DOI: 10.1007/s13370-024-01169-6
M. Pitchaimani, K. Saravanan
{"title":"Invariant approximation in 2-banach space with \u0000 \u0000 \u0000 \u0000 $$H^{+}$$\u0000 \u0000 \u0000 H\u0000 +\u0000 \u0000 \u0000 mappings","authors":"M. Pitchaimani, K. Saravanan","doi":"10.1007/s13370-024-01169-6","DOIUrl":"https://doi.org/10.1007/s13370-024-01169-6","url":null,"abstract":"","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-02-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139789416","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Invariant approximation in 2-banach space with (H^{+}) mappings 带有 $$H^{+}$ H + 映射的 2-巴拿赫空间中的不变逼近
IF 0.9
Afrika Matematika Pub Date : 2024-02-09 DOI: 10.1007/s13370-024-01169-6
M. Pitchaimani, K. Saravanan
{"title":"Invariant approximation in 2-banach space with (H^{+}) mappings","authors":"M. Pitchaimani,&nbsp;K. Saravanan","doi":"10.1007/s13370-024-01169-6","DOIUrl":"10.1007/s13370-024-01169-6","url":null,"abstract":"<div><p>In order to study the invariant approximation in 2-Banach spaces, we define the concept of <span>( H^{+} )</span> type nonexpansive mapping to investigate the existence and uniqueness of approximation. Using <span>( H^{+} )</span> type non expansive multi-valued mapping in 2-Banach spaces to obtain a generalization of the classical Nadler’s fixed point theorem, also discuss the invariant approximation and prove several new results by replacing multi-valued mapping with <span>( H^{+} )</span> mapping in 2-Banach space.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2024-02-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139849494","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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