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Common terms of k-Pell numbers and Padovan or Perrin numbers k-Pell数和Padovan或Perrin数的通用项
IF 1.2
Arabian Journal of Mathematics Pub Date : 2022-11-28 DOI: 10.1007/s40065-022-00407-8
Benedict Vasco Normenyo, Salah Eddine Rihane, Alain Togbé
{"title":"Common terms of k-Pell numbers and Padovan or Perrin numbers","authors":"Benedict Vasco Normenyo,&nbsp;Salah Eddine Rihane,&nbsp;Alain Togbé","doi":"10.1007/s40065-022-00407-8","DOIUrl":"10.1007/s40065-022-00407-8","url":null,"abstract":"<div><p>Let <span>(kge 2)</span>. A generalization of the well-known Pell sequence is the <i>k</i>-Pell sequence. For this sequence, the first <i>k</i> terms are <span>(0,ldots ,0,1)</span> and each term afterwards is given by the linear recurrence </p><div><div><span>$$begin{aligned} P_n^{(k)}=2P_{n-1}^{(k)}+P_{n-2}^{(k)}+cdots +P_{n-k}^{(k)}. end{aligned}$$</span></div></div><p>In this paper, we extend the previous work (Rihane and Togbé in Ann Math Inform 54:57–71, 2021) and investigate the Padovan and Perrin numbers in the <i>k</i>-Pell sequence.</p></div>","PeriodicalId":54135,"journal":{"name":"Arabian Journal of Mathematics","volume":"12 1","pages":"219 - 232"},"PeriodicalIF":1.2,"publicationDate":"2022-11-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40065-022-00407-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50521565","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: 1
Analysis of entropy generation and nonlinear convection on unsteady flow of MHD Prandtl fluid with Soret and Dufour effects 考虑Soret和Dufour效应的磁流体非定常流熵产生和非线性对流分析
IF 1.2
Arabian Journal of Mathematics Pub Date : 2022-11-18 DOI: 10.1007/s40065-022-00401-0
Sadia Asad, Shehnila Riaz
{"title":"Analysis of entropy generation and nonlinear convection on unsteady flow of MHD Prandtl fluid with Soret and Dufour effects","authors":"Sadia Asad,&nbsp;Shehnila Riaz","doi":"10.1007/s40065-022-00401-0","DOIUrl":"10.1007/s40065-022-00401-0","url":null,"abstract":"<div><p>Here the assessment of entropy generation with Soret and Dufour impact in flow of MHD Prandtl fluid along an unsteady stretching surface has been measured. Nonlinear mixed convection and convective conditions for heat/mass transfer are imposed at the surface. The outcome of viscous dissipation and radiation is considered in heat transfer features. The obtained system of nonlinear PDEs is converted to ODEs by consuming dimensionless variables. Resulting systems are solved for the convergent solutions. Impacts of Prandtl fluid parameters, unsteadiness parameter, Soret and Dufour numbers, magnetic parameter, nonlinear thermal and concentration parameter, Prandtl number, radiation parameter, thermal and concentration Biot numbers, ratio of concentration to thermal buoyancy, Eckert number and Schmidt number are addressed. Skin friction coefficient, local Nusselt and Sherwood numbers are analyzed graphically. Unsteady parameter <span>({ epsilon })</span> has reverse behavior on the velocity and temperature profiles, velocity declines while temperature raises. Prandtl fluid parameter <span>({ alpha })</span> and <span>({ beta })</span> boost the velocity field. Mixed convection parameter le and <i>N</i>* (ratio of concentration and buoyancy force) enhance the velocity field and resultant boundary layer thickness. Magnetic parameter change its behavior on <span>(f(eta ))</span><span>(theta (eta ))</span> and . Soret/Dufour number enhances the energy flux due to mass transfer rate and mass flux which radically increases the temperature. Far away from the wall entropy generation grows rapidly for greater values of a and b. Magnetic and radiation parameter increase the entropy generation while radiation parameter decreases.</p></div>","PeriodicalId":54135,"journal":{"name":"Arabian Journal of Mathematics","volume":"12 1","pages":"49 - 69"},"PeriodicalIF":1.2,"publicationDate":"2022-11-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40065-022-00401-0.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50493495","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: 2
Monge–Ampère measures associated with semi-exhaustive functions Monge–与半穷举函数相关的Ampère度量
IF 1.2
Arabian Journal of Mathematics Pub Date : 2022-11-11 DOI: 10.1007/s40065-022-00409-6
Ahmad K. Al Abdulaali
{"title":"Monge–Ampère measures associated with semi-exhaustive functions","authors":"Ahmad K. Al Abdulaali","doi":"10.1007/s40065-022-00409-6","DOIUrl":"10.1007/s40065-022-00409-6","url":null,"abstract":"<div><p>In this paper, we study the current <span>(T wedge text {{dd}}^{c}psi )</span> for positive currents <i>T</i> and semi-exhaustive, not necessarily plurisubharmonic, functions <span>(psi )</span>. The study leads to new definitions of capacity and Lelong–Demailly numbers with respect to the weight <span>(psi )</span>.</p></div>","PeriodicalId":54135,"journal":{"name":"Arabian Journal of Mathematics","volume":"12 1","pages":"1 - 9"},"PeriodicalIF":1.2,"publicationDate":"2022-11-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40065-022-00409-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50472539","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
Nonexistence and umbilicity of spacelike submanifolds with second fundamental form locally timelike 具有第二基本形式局部类时的类空子流形的不存在性和脐性
IF 1.2
Arabian Journal of Mathematics Pub Date : 2022-10-28 DOI: 10.1007/s40065-022-00406-9
Henrique F. de Lima, Lucas S. Rocha, Marco Antonio L. Velásquez
{"title":"Nonexistence and umbilicity of spacelike submanifolds with second fundamental form locally timelike","authors":"Henrique F. de Lima,&nbsp;Lucas S. Rocha,&nbsp;Marco Antonio L. Velásquez","doi":"10.1007/s40065-022-00406-9","DOIUrl":"10.1007/s40065-022-00406-9","url":null,"abstract":"<div><p>Under the assumption that the second fundamental form is locally timelike, we establish new nonexistence and umbilicity results concerning <i>n</i>-dimensional spacelike submanifolds immersed with parallel mean curvature vector in the <span>((n+p))</span>-dimensional de Sitter space <span>(mathbb {S}^{n+p}_q)</span> of index <i>q</i>, such that <span>(1le qle p)</span>. Our approach is based on a Simon’s type inequality involving the norm of the total umbilicity tensor, obtained by Mariano in [17], jointly with suitable maximum principles due to Alías, Caminha and do Nascimento [6, 7] for complete noncompact Riemannian manifolds and a weak version of Omori–Yau’s maximum principle for stochastically complete Riemanian manifolds proved by Pigola, Rigoli and Setti [20, 21].</p></div>","PeriodicalId":54135,"journal":{"name":"Arabian Journal of Mathematics","volume":"12 1","pages":"151 - 160"},"PeriodicalIF":1.2,"publicationDate":"2022-10-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40065-022-00406-9.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50522081","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 some curves in three-dimensional (beta )-Kenmotsu manifolds 关于三维（β）-Kenmotsu流形中的一些曲线
IF 1.2
Arabian Journal of Mathematics Pub Date : 2022-10-26 DOI: 10.1007/s40065-022-00405-w
Şerife Nur Bozdağ, Selcen Yüksel Perktaş, Feyza Esra Erdoğan
{"title":"On some curves in three-dimensional (beta )-Kenmotsu manifolds","authors":"Şerife Nur Bozdağ,&nbsp;Selcen Yüksel Perktaş,&nbsp;Feyza Esra Erdoğan","doi":"10.1007/s40065-022-00405-w","DOIUrl":"10.1007/s40065-022-00405-w","url":null,"abstract":"<div><p>This paper is devoted to examine necessary and sufficient conditions for a Frenet curve to be <i>f</i>-harmonic, <i>f</i>-biharmonic, bi-<i>f</i>-harmonic and <i>f</i>-biminimal in three-dimensional <span>(beta )</span>-Kenmotsu manifolds. In addition, such conditions are investigated for slant curves.</p></div>","PeriodicalId":54135,"journal":{"name":"Arabian Journal of Mathematics","volume":"12 1","pages":"89 - 103"},"PeriodicalIF":1.2,"publicationDate":"2022-10-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40065-022-00405-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50434825","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
Fixed point approximation for a class of generalized nonexpansive multi-valued mappings in Banach spaces Banach空间中一类广义非扩张多值映射的不动点逼近
IF 1.2
Arabian Journal of Mathematics Pub Date : 2022-10-26 DOI: 10.1007/s40065-022-00403-y
Nawab Hussain, Hind Alamri, Saud Alsulami
{"title":"Fixed point approximation for a class of generalized nonexpansive multi-valued mappings in Banach spaces","authors":"Nawab Hussain,&nbsp;Hind Alamri,&nbsp;Saud Alsulami","doi":"10.1007/s40065-022-00403-y","DOIUrl":"10.1007/s40065-022-00403-y","url":null,"abstract":"<div><p>In this paper, we propose a new iteration process, called multi-valued <i>F</i>-iteration process, for the approximation of fixed points. We introduce a new class of multi-valued generalized nonexpansive mappings satisfying a <span>(B_{gamma ,mu })</span> property. Moreover, we establish certain weak and strong convergence theorems in uniformly convex Banach spaces. We also discuss the stability of the modified <i>F</i>-iteration process. Furthermore, a numerical example is presented to illustrate the superiority of our results.</p></div>","PeriodicalId":54135,"journal":{"name":"Arabian Journal of Mathematics","volume":"12 2","pages":"363 - 377"},"PeriodicalIF":1.2,"publicationDate":"2022-10-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40065-022-00403-y.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50516669","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
Isometries on almost Ricci–Yamabe solitons 几乎Ricci–Yamabe孤子上的同构
IF 1.2
Arabian Journal of Mathematics Pub Date : 2022-10-26 DOI: 10.1007/s40065-022-00404-x
Mohan Khatri, C. Zosangzuala, Jay Prakash Singh
{"title":"Isometries on almost Ricci–Yamabe solitons","authors":"Mohan Khatri,&nbsp;C. Zosangzuala,&nbsp;Jay Prakash Singh","doi":"10.1007/s40065-022-00404-x","DOIUrl":"10.1007/s40065-022-00404-x","url":null,"abstract":"<div><p>The purpose of the present paper is to examine the isometries of almost Ricci–Yamabe solitons. Firstly, the conditions under which a compact gradient almost Ricci–Yamabe soliton is isometric to Euclidean sphere <span>(S^n(r))</span> are obtained. Moreover, we have shown that the potential <i>f</i> of a compact gradient almost Ricci–Yamabe soliton agrees with the Hodge–de Rham potential <i>h</i>. Next, we studied complete gradient almost Ricci–Yamabe soliton with <span>(alpha ne 0)</span> and non-trivial conformal vector field with non-negative scalar curvature and proved that it is either isometric to Euclidean space <span>(E^n)</span> or Euclidean sphere <span>(S^n.)</span> Also, solenoidal and torse-forming vector fields are considered. Lastly, some non-trivial examples are constructed to verify the obtained results.</p></div>","PeriodicalId":54135,"journal":{"name":"Arabian Journal of Mathematics","volume":"12 1","pages":"127 - 138"},"PeriodicalIF":1.2,"publicationDate":"2022-10-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40065-022-00404-x.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50516722","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: 3
A novel accelerated extragradient algorithm to solve pseudomonotone variational inequalities 求解伪单调变分不等式的一种新的加速梯度外算法
IF 1.2
Arabian Journal of Mathematics Pub Date : 2022-10-08 DOI: 10.1007/s40065-022-00400-1
Supansa Noinakorn, Nopparat Wairojjana, Nuttapol Pakkaranang, Natttawut Pholasa
{"title":"A novel accelerated extragradient algorithm to solve pseudomonotone variational inequalities","authors":"Supansa Noinakorn,&nbsp;Nopparat Wairojjana,&nbsp;Nuttapol Pakkaranang,&nbsp;Natttawut Pholasa","doi":"10.1007/s40065-022-00400-1","DOIUrl":"10.1007/s40065-022-00400-1","url":null,"abstract":"<div><p>In this paper, we propose a new inertial iterative method to solve classical variational inequalities with pseudomonotone and Lipschitz continuous operators in the setting of a real Hilbert space. The proposed iterative scheme is basically analogous to the extragradient method used to solve the problems of variational inequalities in real Hilbert spaces. The strong convergence of the proposed algorithm is set up with the prior knowledge of Lipschitz’s constant of an operator. Finally, several computational experiments are listed to show the applicability and efficiency of the proposed algorithm.</p></div>","PeriodicalId":54135,"journal":{"name":"Arabian Journal of Mathematics","volume":"12 1","pages":"201 - 218"},"PeriodicalIF":1.2,"publicationDate":"2022-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40065-022-00400-1.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50463438","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
New type parallelogram laws in Banach spaces and geodesic spaces with curvature bounded above Banach空间和曲率有界的测地线空间中的新型平行四边形律
IF 1.2
Arabian Journal of Mathematics Pub Date : 2022-10-08 DOI: 10.1007/s40065-022-00397-7
Yasunori Kimura, Shuta Sudo
{"title":"New type parallelogram laws in Banach spaces and geodesic spaces with curvature bounded above","authors":"Yasunori Kimura,&nbsp;Shuta Sudo","doi":"10.1007/s40065-022-00397-7","DOIUrl":"10.1007/s40065-022-00397-7","url":null,"abstract":"<div><p>The parallelogram law characterizes a part of the structure of Hilbert spaces. To hold the parallelogram law by the norm, reasonably good conditions are required for Banach spaces. This paper proposes new type parallelogram laws with bifunctions on Banach spaces and geodesic spaces, respectively.</p></div>","PeriodicalId":54135,"journal":{"name":"Arabian Journal of Mathematics","volume":"12 2","pages":"389 - 412"},"PeriodicalIF":1.2,"publicationDate":"2022-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40065-022-00397-7.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50463949","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: 1
A new type of fixed point theorem via interpolation of operators with application in homotopy theory 一种新的算子插值不动点定理及其在同伦论中的应用
IF 1.2
Arabian Journal of Mathematics Pub Date : 2022-09-30 DOI: 10.1007/s40065-022-00402-z
Mujahid Abbas, Rizwan Anjum, Shakeela Riasat
{"title":"A new type of fixed point theorem via interpolation of operators with application in homotopy theory","authors":"Mujahid Abbas,&nbsp;Rizwan Anjum,&nbsp;Shakeela Riasat","doi":"10.1007/s40065-022-00402-z","DOIUrl":"10.1007/s40065-022-00402-z","url":null,"abstract":"<div><p>The purpose of this paper is to introduce the class of multi-valued operators by the technique of interpolation of operators. Our results extend and generalize several results from the existing literature. Moreover, we also study the data dependence problem of the fixed point set and Ulam–Hyers stability of the fixed point problem for the operators introduced herein. Moreover, as an application, we obtain a homotopy result.</p></div>","PeriodicalId":54135,"journal":{"name":"Arabian Journal of Mathematics","volume":"12 2","pages":"277 - 288"},"PeriodicalIF":1.2,"publicationDate":"2022-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40065-022-00402-z.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50527384","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: 2
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