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Asian-European Journal of Mathematics最新文献

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Representations of superassociative algebras by commutative functions with different types 用不同类型交换函数表示超结合代数
Asian-European Journal of Mathematics Pub Date : 2023-09-30 DOI: 10.1142/s1793557123502042
Thodsaporn Kumduang, Songpon Sriwongsa
{"title":"Representations of superassociative algebras by commutative functions with different types","authors":"Thodsaporn Kumduang, Songpon Sriwongsa","doi":"10.1142/s1793557123502042","DOIUrl":"https://doi.org/10.1142/s1793557123502042","url":null,"abstract":"For fixed integers [Formula: see text] and [Formula: see text], we study the faithful representation of superassociative algebras by two kinds of functions of the arity [Formula: see text], the so called [Formula: see text]-commutative and [Formula: see text]-commutative. The automorphism on the algebra of all [Formula: see text]-commutative functions is determined. In general, an isomorphism from a superassociative system which consists of a family of nonempty sets and a family of operations satisfying the axiom of superassociativity to a system of full multiplace functions is discussed. Particularly, we also provide necessary and sufficient conditions under which a superassociative system and a system of [Formula: see text]-commutative functions are isomorphic. With these results, a close connection with the theory of terms and tree languages is described.","PeriodicalId":45737,"journal":{"name":"Asian-European Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136272104","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
Dynamic properties of random linear cocycles 随机线性共环的动态性质
Asian-European Journal of Mathematics Pub Date : 2023-09-30 DOI: 10.1142/s179355712350208x
Manseob Lee, Jumi Oh
{"title":"Dynamic properties of random linear cocycles","authors":"Manseob Lee, Jumi Oh","doi":"10.1142/s179355712350208x","DOIUrl":"https://doi.org/10.1142/s179355712350208x","url":null,"abstract":"In this paper, we extend the expansivity, pseudo trajectory tracing property and hyperbolicity of linear dynamical systems for the random view point. We show that to a random linear cocycle [Formula: see text] it is expansive if and only if it has the generalized pseudo trajectory tracing property. Moreover, we show that [Formula: see text] is topologically stable if and only if it is structurally stable.","PeriodicalId":45737,"journal":{"name":"Asian-European Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136271686","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
An Inertial Method for Solving Systems of Generalized Mixed Equilibrium and Fixed Point Problems in Reflexive Banach Spaces 求解自反Banach空间中广义混合平衡不动点问题的惯性方法
Asian-European Journal of Mathematics Pub Date : 2023-09-30 DOI: 10.1142/s1793557123502078
H. A. Abass, M. Aphane, M. O. Olayiwola
{"title":"An Inertial Method for Solving Systems of Generalized Mixed Equilibrium and Fixed Point Problems in Reflexive Banach Spaces","authors":"H. A. Abass, M. Aphane, M. O. Olayiwola","doi":"10.1142/s1793557123502078","DOIUrl":"https://doi.org/10.1142/s1793557123502078","url":null,"abstract":"The Generalized mixed equilibrium problems, which includes the equilibrium and mixed equilibrium problem of monotone type mapping is considered in this paper with the fixed point of Bregman strongly nonexpansive mapping in the framework of real reflexive Banach space. We approximate the common solution of the system of generalized mixed equilibrium and fixed point problems for the finite family of Bregman strongly nonexpansive mappings using an inertial Halpern method. Using our iterative method, we prove a strong convergence result for solving the aforementioned problems. We also present some applications and numerical examples to demonstrate the performance of our iterative method. Our result improves and extends some important results presented by authors in the literature.","PeriodicalId":45737,"journal":{"name":"Asian-European Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136272101","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
Of a Couple of Relaxation Iterative Methods Suited for Matrices of Bounded Linear Operators Defined over Banach Spaces 适合于Banach空间上有界线性算子矩阵的一对松弛迭代方法
Asian-European Journal of Mathematics Pub Date : 2023-09-30 DOI: 10.1142/s1793557123502030
Samir Lemita, Mohammed Ghaith Mahcene
{"title":"Of a Couple of Relaxation Iterative Methods Suited for Matrices of Bounded Linear Operators Defined over Banach Spaces","authors":"Samir Lemita, Mohammed Ghaith Mahcene","doi":"10.1142/s1793557123502030","DOIUrl":"https://doi.org/10.1142/s1793557123502030","url":null,"abstract":"By introducing matrices of linear bounded infinite-dimensional operators defined over some Banach spaces, and within the context of study, we make use of the definition of row strict diagonal dominance property to construct a generalization version of the Jacobi Under-Relaxation and the Successive Under-Relaxation iterative methods. The convergence analyses of the two new iterative methods are provided, and a numerical application to solve one Fredholm integral equation is presented to show the generalized methods’ effectiveness compared with their conventional opponents.","PeriodicalId":45737,"journal":{"name":"Asian-European Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136272096","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 Rabotnov fractional exponential function for bi-univalent subclasses 双一元子类的Rabotnov分数指数函数
Asian-European Journal of Mathematics Pub Date : 2023-09-29 DOI: 10.1142/s1793557123502170
Tariq Al-Hawary, Basem Aref Frasin, Abbas Kareem Wanas, Georgia Irina Oros
{"title":"On Rabotnov fractional exponential function for bi-univalent subclasses","authors":"Tariq Al-Hawary, Basem Aref Frasin, Abbas Kareem Wanas, Georgia Irina Oros","doi":"10.1142/s1793557123502170","DOIUrl":"https://doi.org/10.1142/s1793557123502170","url":null,"abstract":"","PeriodicalId":45737,"journal":{"name":"Asian-European Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135133275","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 Constant-Ratio Surfaces of Rotation in Euclidean 4-Space 欧几里得4-空间中恒比旋转曲面的研究
Asian-European Journal of Mathematics Pub Date : 2023-09-27 DOI: 10.1142/s1793557123502066
Kadri Arslan, Betul Bulca, Eray Demirbas
{"title":"On Constant-Ratio Surfaces of Rotation in Euclidean 4-Space","authors":"Kadri Arslan, Betul Bulca, Eray Demirbas","doi":"10.1142/s1793557123502066","DOIUrl":"https://doi.org/10.1142/s1793557123502066","url":null,"abstract":"The general rotational surfaces of [Formula: see text] were first studied by Moore. The Vranceanu surfaces are special examples of this kind of surfaces. These constant-ratio surfaces are surfaces for which the ratio of the norms of the tangent and normal components of the position vector fields is constant. However, spherical surfaces and conical surfaces are also trivial examples of constant-ratio surfaces. Thus, if the norms of the tangent or normal components of the position vector fields are constant, then the given surface is called [Formula: see text]-constant or [Formula: see text]-constant, respectively. In this paper, we considered three types of rotational surfaces lying in [Formula: see text]-dimensional Euclidean space [Formula: see text]. We have obtained the necessary and sufficient conditions for these surfaces to satisfy the [Formula: see text]-constant, [Formula: see text]-constant or constant-ratio conditions. With the help of these results, we characterized the meridian curves of the surfaces. Further, we also give some examples to support the results obtained.","PeriodicalId":45737,"journal":{"name":"Asian-European Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135477760","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
Exixtence of mild solutions for a multi-term fractional differential equation via ψ-(γ,σ)-resolvent operators 用ψ-(γ，σ)-解析算子求解多项分数阶微分方程温和解的存在性
Asian-European Journal of Mathematics Pub Date : 2023-09-27 DOI: 10.1142/s1793557123502121
Hiba Elasraoui, Ali El Mfadel, M'hamed Elomari, Khalid Hilal
{"title":"Exixtence of mild solutions for a multi-term fractional differential equation via <i>ψ</i>-(<i>γ,σ</i>)-resolvent operators","authors":"Hiba Elasraoui, Ali El Mfadel, M'hamed Elomari, Khalid Hilal","doi":"10.1142/s1793557123502121","DOIUrl":"https://doi.org/10.1142/s1793557123502121","url":null,"abstract":"In this paper, we consider a multi-term fractional differential equation involving the [Formula: see text]-Caputo fractional derivative. Under some suitable hypotheses, we prove that our proposed problem has at least one mild solution expressed in terms of the [Formula: see text]-[Formula: see text]-resolvent. As an application, we provide a suitable example at the end of this work to illustrate our theoretical results.","PeriodicalId":45737,"journal":{"name":"Asian-European Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135477146","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 Class of Non-Limiting Factor Filling Functions for Global Minimization 一类全局最小化的非极限因子填充函数
Asian-European Journal of Mathematics Pub Date : 2023-09-26 DOI: 10.1142/s1793557123502054
Ridwan Pandiya, None Salmah, None Widodo, Irwan Endrayanto
{"title":"A Class of Non-Limiting Factor Filling Functions for Global Minimization","authors":"Ridwan Pandiya, None Salmah, None Widodo, Irwan Endrayanto","doi":"10.1142/s1793557123502054","DOIUrl":"https://doi.org/10.1142/s1793557123502054","url":null,"abstract":"This study aims to provide a non-limiting factor auxiliary function in a general form. This function, under some assumptions, is proven to fulfill the properties of filling functions. The properties of the proposed method, which include continuously differentiable and the absence of any limiting factor, provide an advantage during numerical experiments for solving some global optimization problems. A numerical comparison was performed, and the results confirmed that our filling function has several advantages compared with other filling functions. Moreover, numerical computational results demonstrate the reliability and effectiveness of the proposed filling function.","PeriodicalId":45737,"journal":{"name":"Asian-European Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134903938","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 Harmonic Summability of Order α 关于阶α的调和可和性
Asian-European Journal of Mathematics Pub Date : 2023-09-23 DOI: 10.1142/s1793557123502017
Hacer Sengul Kandemir, Mikail Et
{"title":"On Harmonic Summability of Order α","authors":"Hacer Sengul Kandemir, Mikail Et","doi":"10.1142/s1793557123502017","DOIUrl":"https://doi.org/10.1142/s1793557123502017","url":null,"abstract":"In this study, the concepts of lacunary [Formula: see text]summability of order [Formula: see text], lacunary strongly harmonic summability of order [Formula: see text], lacunary statistical logarithmic convergence of order [Formula: see text] of sequences of real numbers are introduced and relations between these concepts are investigated.","PeriodicalId":45737,"journal":{"name":"Asian-European Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135959566","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 monoid of partial isometries of a wheel graph 论车轮图的部分等分线单体
IF 0.8
Asian-European Journal of Mathematics Pub Date : 2023-07-30 DOI: 10.1142/s1793557123502388
V. H. Fernandes
{"title":"On the monoid of partial isometries of a wheel graph","authors":"V. H. Fernandes","doi":"10.1142/s1793557123502388","DOIUrl":"https://doi.org/10.1142/s1793557123502388","url":null,"abstract":"In this paper, we consider the monoid $DPW_n$ of all partial isometries of a wheel graph $W_n$ with $n+1$ vertices. Our main objective is to determine the rank of $DPW_n$. In the process, we also compute the ranks of three notable subsemigroups of $DPW_n$. We also describe Green's relations of $DPW_n$ and of its three considered subsemigroups.","PeriodicalId":45737,"journal":{"name":"Asian-European Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2023-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139353833","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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