A. Akinyele, Christiana Funmilayo Ozokeraha, Shuayb Adedeji Oshodi, J. Omosowon
Results of an omega-order preserving partial contraction mapping (omega-OCPn) in generalized spaces are presented in this study. Assumed to be a closed linear operator on a Banach space X with a non-empty resolvent set rho(A) is A in omega-OCPn. If A is densely defined, the extrapolation spaces X-1 and X-1 will be associated with A in agreement. However, X-1 is a proper closed subspace of X-1 if A is not densely defined. Then, we demonstrated that the reason these spaces exist is because (X*)-1 and D(A0) are naturally isomorphic to (X*)-1 and (X*)-1, respectively.
本研究介绍了广义空间中的欧米伽-阶保留部分收缩映射（omega-OCPn）的结果。假定omega-OCPn中的A是Banach空间X上的封闭线性算子，且具有非空解析集rho(A)。如果 A 是密集定义的，外推空间 X-1 和 X-1 将与 A 一致。但是，如果 A 不是密集定义的，X-1 就是 X-1 的一个适当的封闭子空间。然后，我们证明了这些空间存在的原因是 (X*)-1 和 D(A0) 分别与 (X*)-1 和 (X*)-1 自然同构。
{"title":"Results of semigroup of linear operators in extrapolation spaces","authors":"A. Akinyele, Christiana Funmilayo Ozokeraha, Shuayb Adedeji Oshodi, J. Omosowon","doi":"10.56947/amcs.v21.256","DOIUrl":"https://doi.org/10.56947/amcs.v21.256","url":null,"abstract":"Results of an omega-order preserving partial contraction mapping (omega-OCPn) in generalized spaces are presented in this study. Assumed to be a closed linear operator on a Banach space X with a non-empty resolvent set rho(A) is A in omega-OCPn. If A is densely defined, the extrapolation spaces X-1 and X-1 will be associated with A in agreement. However, X-1 is a proper closed subspace of X-1 if A is not densely defined. Then, we demonstrated that the reason these spaces exist is because (X*)-1 and D(A0) are naturally isomorphic to (X*)-1 and (X*)-1, respectively. ","PeriodicalId":504658,"journal":{"name":"Annals of Mathematics and Computer Science","volume":"76 6","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139959959","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}
To enrich the field of transformation graphs, we put forward four T1-Corona composite graphs. The Zagreb indices plays vital role in chemical graph theory. In this paper, we obtain the explicit expressions for first and second Zagreb indices of T1-Corona composite graphs.
{"title":"Analyzing the expressions of T_1-Corona composite graphs via Zagreb indices","authors":"Manjunatha Gali, Prakasha D.G, Chetana Gali","doi":"10.56947/amcs.v21.263","DOIUrl":"https://doi.org/10.56947/amcs.v21.263","url":null,"abstract":"To enrich the field of transformation graphs, we put forward four T1-Corona composite graphs. The Zagreb indices plays vital role in chemical graph theory. In this paper, we obtain the explicit expressions for first and second Zagreb indices of T1-Corona composite graphs.","PeriodicalId":504658,"journal":{"name":"Annals of Mathematics and Computer Science","volume":"53 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139960259","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}
Machine learning has found applications across a range of commercial enterprises. One of the exciting industries impacted by AI has been civil engineering. The aim of this paper is to review recent developments in AI as they relate to civil engineering. We highlight potential applications as well as the risks.
{"title":"Machine learning methods in civil engineering: a systematic review","authors":"Saidjon Kamolov","doi":"10.56947/amcs.v21.277","DOIUrl":"https://doi.org/10.56947/amcs.v21.277","url":null,"abstract":"Machine learning has found applications across a range of commercial enterprises. One of the exciting industries impacted by AI has been civil engineering. The aim of this paper is to review recent developments in AI as they relate to civil engineering. We highlight potential applications as well as the risks.","PeriodicalId":504658,"journal":{"name":"Annals of Mathematics and Computer Science","volume":"88 21","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139959443","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}
In this paper, we prove the existence of at least one and of at least two nontrivial heteroclinic solutions for the discrete p(k)-Laplace Kirchhoff type equations depending on a parameter. The proof of our main result is based on a local minimum theorem for differentiable functionals due to Ricceri and on the mountain pass theorem of P. Pucci and J. Serrin.
在本文中，我们证明了取决于一个参数的离散 p(k)-Laplace 基尔霍夫型方程存在至少一个和至少两个非孤立的异质解。我们主要结果的证明基于 Ricceri 提出的可微函数局部最小定理以及 P. Pucci 和 J. Serrin 的山口定理。
{"title":"Multiplicity of heteroclinic solutions for the discrete p(k)-Laplace Kirchhoff type equations with a parameter","authors":"S. Ouaro, Moussa Brahim, Ismael Nyanquini","doi":"10.56947/amcs.v21.265","DOIUrl":"https://doi.org/10.56947/amcs.v21.265","url":null,"abstract":"\u0000 \u0000 \u0000In this paper, we prove the existence of at least one and of at least two nontrivial heteroclinic solutions for the discrete p(k)-Laplace Kirchhoff type equations depending on a parameter. The proof of our main result is based on a local minimum theorem for differentiable functionals due to Ricceri and on the mountain pass theorem of P. Pucci and J. Serrin. \u0000 \u0000 \u0000","PeriodicalId":504658,"journal":{"name":"Annals of Mathematics and Computer Science","volume":"71 8","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139960087","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}
In this paper we discuss about the ring R in which every element is sum of n commuting idempotents and discuss the properties of it.
在本文中，我们讨论了每个元素都是 n 个共价幂级数之和的环 R，并讨论了它的性质。
{"title":"Ring in which every element is sum of n idempotents","authors":"Kumar Napoleon, Deka, Helen K.SAIKIA","doi":"10.56947/amcs.v21.251","DOIUrl":"https://doi.org/10.56947/amcs.v21.251","url":null,"abstract":"In this paper we discuss about the ring R in which every element is sum of n commuting idempotents and discuss the properties of it.","PeriodicalId":504658,"journal":{"name":"Annals of Mathematics and Computer Science","volume":"53 9","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139960253","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}
Subbarayan Poornavel, Natarajan Balamurugan, Hasanen A. Hammad
The goal of this manuscript is to present the concept of tricomplex-valued parametric metric space. In this space, some common fixed-point theorems are introduced. Our results unify and generalize many papers in the same direction. Moreover, some illustrative examples are presented to support the theoretical results. Finally, our results are applied to find the existence of a solution to a linear system of equations.
{"title":"Some common fixed point theorems on tricomplex valued parametric metric space","authors":"Subbarayan Poornavel, Natarajan Balamurugan, Hasanen A. Hammad","doi":"10.56947/amcs.v20.248","DOIUrl":"https://doi.org/10.56947/amcs.v20.248","url":null,"abstract":"The goal of this manuscript is to present the concept of tricomplex-valued parametric metric space. In this space, some common fixed-point theorems are introduced. Our results unify and generalize many papers in the same direction. Moreover, some illustrative examples are presented to support the theoretical results. Finally, our results are applied to find the existence of a solution to a linear system of equations.","PeriodicalId":504658,"journal":{"name":"Annals of Mathematics and Computer Science","volume":"15 7","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139389360","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}
João Carlos Ferreira, Maria das Graças Bruno Marietto
In this paper we study the additivity of multiplicative Jordan triple semi-derivations on rings and standard operator algebras.
本文研究了环和标准算子代数上的乘法约旦三重半分解的可加性。
{"title":"Multiplicative Jordan triple semi-derivations on rings and standard operator algebras","authors":"João Carlos Ferreira, Maria das Graças Bruno Marietto","doi":"10.56947/amcs.v20.234","DOIUrl":"https://doi.org/10.56947/amcs.v20.234","url":null,"abstract":"In this paper we study the additivity of multiplicative Jordan triple semi-derivations on rings and standard operator algebras.","PeriodicalId":504658,"journal":{"name":"Annals of Mathematics and Computer Science","volume":"50 21","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139389138","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}
The evolution of Nijenhuis operators has started during nineties. The Nijenhuis operator is formulated using the deformation on Poisson Nijenhuis manifolds and Lie algebras. In this paper, the Nijenhuis operator is suggested on the generalised tangent bundle TM + T*M followed by the deformation on Lie algebra. A new geometric structure is formulated in association with Nijenhuis relation. It is proved that if the Nijenhuis operator, N: G(TM+ T*M)->G(TM + T*M) is restricted to the Dirac structure of the generalised tangent bundle TM + T*M, then the deformation is a trivial. However, on the whole space G(TM + T*M), it is only a deformation weaker than the trivial deformation. A bracket like a Lie bracket is defined on G(TM + T*M)+G(T*M). The bracket is skew symmetric and does not satisfy Jacobi identity property. A structure like Dirac structure is also defined on that space.
{"title":"Nijenhuis operator and Lie like bracket on generalised tangent bundle","authors":"Rashmirekha Patra, N. R. Satapathy","doi":"10.56947/amcs.v20.231","DOIUrl":"https://doi.org/10.56947/amcs.v20.231","url":null,"abstract":"The evolution of Nijenhuis operators has started during nineties. The Nijenhuis operator is formulated using the deformation on Poisson Nijenhuis manifolds and Lie algebras. In this paper, the Nijenhuis operator is suggested on the generalised tangent bundle TM + T*M followed by the deformation on Lie algebra. A new geometric structure is formulated in association with Nijenhuis relation. It is proved that if the Nijenhuis operator, N: G(TM+ T*M)->G(TM + T*M) is restricted to the Dirac structure of the generalised tangent bundle TM + T*M, then the deformation is a trivial. However, on the whole space G(TM + T*M), it is only a deformation weaker than the trivial deformation. A bracket like a Lie bracket is defined on G(TM + T*M)+G(T*M). The bracket is skew symmetric and does not satisfy Jacobi identity property. A structure like Dirac structure is also defined on that space.","PeriodicalId":504658,"journal":{"name":"Annals of Mathematics and Computer Science","volume":"20 5","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139389366","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}
In QSPR studies topological indices plays vital role. To enrich this field we put forward novel topological indices namely weighted Zagreb indices. In this paper we give explicit formulae for weighted Zagreb indices of total transformation graphs in terms of elements of a graph G.
在 QSPR 研究中，拓扑指数起着至关重要的作用。为了丰富这一领域，我们提出了新的拓扑指数，即加权萨格勒布指数。本文以图 G 的元素为单位，给出了全变换图的加权萨格勒布指数的明确公式。
{"title":"On weighted forgotten index of total transformation graphs","authors":"Prakasha D G, Manjunatha Gali","doi":"10.56947/amcs.v20.220","DOIUrl":"https://doi.org/10.56947/amcs.v20.220","url":null,"abstract":"In QSPR studies topological indices plays vital role. To enrich this field we put forward novel topological indices namely weighted Zagreb indices. In this paper we give explicit formulae for weighted Zagreb indices of total transformation graphs in terms of elements of a graph G.","PeriodicalId":504658,"journal":{"name":"Annals of Mathematics and Computer Science","volume":"121 36","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139387882","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}
The development of numerical methods for the solution of initial value problems in ordinary differential equation have turned out to be a very rapid research area in recent decades due to the difficulties encountered in finding solutions to some mathematical models composed into differential equations from real life situations. Researchers have in recent times, used higher derivatives in the derivation of numerical methods to produce totally new ways of solving these equations. In this article, a new Runge-Kutta type methods with reduced number of function evaluations in the increment function is constructed, analyzed and implemented. This proposed method border on the use of higher derivatives up to the second derivative in the ki terms of Runge-Kutta method in order to achieve a higher order of accuracy. The qualitative features: local truncation error, consistency, convergence and stability of the new method were investigated and established. Numerical examples were also performed on some initial value problems to confirm the accuracy of the new method and compared with some existing methods of which the numerical results show that the new method competes favorably.
{"title":"A four-stage multiderivative explicit Runge-Kutta method for the solution of first order ordinary differential equations","authors":"A. Olaniyan, M. Akanbi, A. Wusu, Kazeem Shonibare","doi":"10.56947/amcs.v20.224","DOIUrl":"https://doi.org/10.56947/amcs.v20.224","url":null,"abstract":"The development of numerical methods for the solution of initial value problems in ordinary differential equation have turned out to be a very rapid research area in recent decades due to the difficulties encountered in finding solutions to some mathematical models composed into differential equations from real life situations. Researchers have in recent times, used higher derivatives in the derivation of numerical methods to produce totally new ways of solving these equations. In this article, a new Runge-Kutta type methods with reduced number of function evaluations in the increment function is constructed, analyzed and implemented. This proposed method border on the use of higher derivatives up to the second derivative in the ki terms of Runge-Kutta method in order to achieve a higher order of accuracy. The qualitative features: local truncation error, consistency, convergence and stability of the new method were investigated and established. Numerical examples were also performed on some initial value problems to confirm the accuracy of the new method and compared with some existing methods of which the numerical results show that the new method competes favorably.","PeriodicalId":504658,"journal":{"name":"Annals of Mathematics and Computer Science","volume":"11 24","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139389615","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}
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