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Arabian Journal of Mathematics最新文献

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Alternative proofs of some classical metric fixed point theorems by using approximate fixed point sequences 用近似不动点序列替代证明一些经典度量不动点定理
IF 1.2
Arabian Journal of Mathematics Pub Date : 2022-09-29 DOI: 10.1007/s40065-022-00398-6
Vasile Berinde, M̆ad̆alina P̆acurar
{"title":"Alternative proofs of some classical metric fixed point theorems by using approximate fixed point sequences","authors":"Vasile Berinde,&nbsp;M̆ad̆alina P̆acurar","doi":"10.1007/s40065-022-00398-6","DOIUrl":"10.1007/s40065-022-00398-6","url":null,"abstract":"<div><p>The notion of <i>approximate fixed point sequence</i>, emphasized in Chidume (Geometric properties of Banach spaces and nonlinear iterations. Lecture Notes in Mathematics, 1965. Springer-Verlag London, Ltd., London, 2009), is a very useful tool in proving convergence theorems for fixed point iterative schemes in the class of nonexpansive-type mappings. In the present paper, our aim is to present simple and unified alternative proofs of some classical fixed point theorems emerging from Banach contraction principle, by using a technique based on the concepts of approximate fixed point sequence and graphic contraction.</p></div>","PeriodicalId":54135,"journal":{"name":"Arabian Journal of Mathematics","volume":"12 2","pages":"341 - 351"},"PeriodicalIF":1.2,"publicationDate":"2022-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40065-022-00398-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50524432","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
Minimal automorphic superpositions of crowns 冠的极小自同构叠加
IF 1.2
Arabian Journal of Mathematics Pub Date : 2022-09-29 DOI: 10.1007/s40065-022-00399-5
Bernd S. W. Schröder
{"title":"Minimal automorphic superpositions of crowns","authors":"Bernd S. W. Schröder","doi":"10.1007/s40065-022-00399-5","DOIUrl":"10.1007/s40065-022-00399-5","url":null,"abstract":"<div><p>After an overview of uses and explorations of minimal automorphic ordered sets, we present a criterion when certain superpositions of crowns are minimal automorphic. A key lemma to exclude certain retracts can also be applied to ordered sets recently presented in Schröder (Order, https://doi.org/10.1007/s11083-021-09574-3, 2021).</p></div>","PeriodicalId":54135,"journal":{"name":"Arabian Journal of Mathematics","volume":"12 2","pages":"431 - 444"},"PeriodicalIF":1.2,"publicationDate":"2022-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40065-022-00399-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50524431","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
Graphical contractions and common fixed points in b-metric spaces b-度量空间中的图形收缩与公共不动点
IF 1.2
Arabian Journal of Mathematics Pub Date : 2022-09-26 DOI: 10.1007/s40065-022-00396-8
Adrian Petruşel, Gabriela Petruşel
{"title":"Graphical contractions and common fixed points in b-metric spaces","authors":"Adrian Petruşel,&nbsp;Gabriela Petruşel","doi":"10.1007/s40065-022-00396-8","DOIUrl":"10.1007/s40065-022-00396-8","url":null,"abstract":"<div><p>In this paper, we will prove some fixed point theorems for graphical contractions in complete <i>b</i>-metric spaces. Then, some common fixed point results for a pair of mappings in complete <i>b</i>-metric spaces will be deduced. Our results extend some recent theorems proved in classical metric spaces.</p></div>","PeriodicalId":54135,"journal":{"name":"Arabian Journal of Mathematics","volume":"12 2","pages":"423 - 430"},"PeriodicalIF":1.2,"publicationDate":"2022-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40065-022-00396-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50516800","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
Regularization methods for hierarchical variational inequality problems on Hadamard manifolds Hadamard流形上层次变分不等式问题的正则化方法
IF 1.2
Arabian Journal of Mathematics Pub Date : 2022-09-14 DOI: 10.1007/s40065-022-00395-9
Qamrul Hasan Ansari, Feeroz Babu, Moin Uddin
{"title":"Regularization methods for hierarchical variational inequality problems on Hadamard manifolds","authors":"Qamrul Hasan Ansari,&nbsp;Feeroz Babu,&nbsp;Moin Uddin","doi":"10.1007/s40065-022-00395-9","DOIUrl":"10.1007/s40065-022-00395-9","url":null,"abstract":"<div><p>This article proposes two regularized iterative algorithms for solving variational inequality problems defined over a solution set of a variational inclusion problem, known as hierarchical variational inequality problems, in the setting of Hadamard manifolds. Instead of regularizing the variational inequality problem or an iterative method for solving it, we first regularize the considered variational inclusion problem, and then prove that the solution of the regularized problem converges to a solution of the hierarchical variational inequality problem. Using such a result, we prove the convergence of the sequences generated by the proposed algorithms to a solution of the considered hierarchical variational inequality problem. A computational experiment is provided to see the validity and effectiveness of the proposed algorithms.</p></div>","PeriodicalId":54135,"journal":{"name":"Arabian Journal of Mathematics","volume":"12 2","pages":"309 - 330"},"PeriodicalIF":1.2,"publicationDate":"2022-09-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40065-022-00395-9.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50482823","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
On the realisability problem of groups for Sullivan algebras 关于Sullivan代数群的可实现性问题
IF 1.2
Arabian Journal of Mathematics Pub Date : 2022-09-13 DOI: 10.1007/s40065-022-00385-x
Mahmoud Benkhalifa
{"title":"On the realisability problem of groups for Sullivan algebras","authors":"Mahmoud Benkhalifa","doi":"10.1007/s40065-022-00385-x","DOIUrl":"10.1007/s40065-022-00385-x","url":null,"abstract":"<div><p>In this paper, we prove that any group occurs as the group of homotopy classes of self-equivalences of a none elliptic Sullivan algebra.</p></div>","PeriodicalId":54135,"journal":{"name":"Arabian Journal of Mathematics","volume":"12 1","pages":"83 - 87"},"PeriodicalIF":1.2,"publicationDate":"2022-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40065-022-00385-x.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50433976","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
2nd order approximate Noether and Lie symmetries of Gibbons–Maeda–Garfinkle–Horowitz–Strominger charged black hole in the Einstein frame 爱因斯坦框架中Gibbons–Maeda–Garfinkle–Horowitz–Strominger带电黑洞的二阶近似Noether和Lie对称性
IF 1.2
Arabian Journal of Mathematics Pub Date : 2022-09-12 DOI: 10.1007/s40065-022-00387-9
Asia Liaqat, Ibrar Hussain
{"title":"2nd order approximate Noether and Lie symmetries of Gibbons–Maeda–Garfinkle–Horowitz–Strominger charged black hole in the Einstein frame","authors":"Asia Liaqat,&nbsp;Ibrar Hussain","doi":"10.1007/s40065-022-00387-9","DOIUrl":"10.1007/s40065-022-00387-9","url":null,"abstract":"<div><p>In this paper, approximate Noether and Lie symmetries of 2nd order for Gibbons–Maeda–Garfinkle–Horowitz–Strominger (GMGHS) charged black hole in the Einstein frame are analyzed comprehensively. To explore the approximate Noether symmetries of 2nd order, Noether symmetries of Minkowski spacetime are used which forms a 17 dimensional Lie algebra. It is observed that no new approximate Noether symmetry is obtained at 1st and 2nd order. To examine the 1st and 2nd order approximate Lie symmetries of the GMGHS black hole spacetime, 35 Lie symmetries (exact) of the Minkowski spacetime are used which forms an algebra <i>sl</i>(6, <i>R</i>). It is shown that no new approximate Lie symmetry exists at 1st and 2nd order and only exact 35 symmetries are recouped as trivial approximate Lie symmetries at both orders. Furthermore, no energy rescaling factor is seen in this spacetime.</p></div>","PeriodicalId":54135,"journal":{"name":"Arabian Journal of Mathematics","volume":"12 1","pages":"139 - 149"},"PeriodicalIF":1.2,"publicationDate":"2022-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40065-022-00387-9.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50475783","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
Some homotypical closed varieties of semigroups 半群的一些同模闭变种
IF 1.2
Arabian Journal of Mathematics Pub Date : 2022-09-12 DOI: 10.1007/s40065-022-00394-w
M. Nabi, S. A. Ahanger, S. Bano, A. H. Shah
{"title":"Some homotypical closed varieties of semigroups","authors":"M. Nabi,&nbsp;S. A. Ahanger,&nbsp;S. Bano,&nbsp;A. H. Shah","doi":"10.1007/s40065-022-00394-w","DOIUrl":"10.1007/s40065-022-00394-w","url":null,"abstract":"<div><p>We show that for each <span>(nge 2in {mathbb {N}})</span>, the varieties <span>({mathbb {V}}_{n}=[x_1x_2x_3=x_1^nx_{i_1}x_{i_2}x_{i_3}])</span> where <i>i</i> is any non-trivial permutation of <span>({1,2,3})</span> are closed. Further, we show that for each <span>(nin {mathbb {N}})</span>, the varieties <span>({mathcal {V}}_{n}=[x_1x_2x_3=x_1^nx_{i_1}x_{i_2}x_{i_3}])</span> where <i>i</i> is any non-trivial permutation of <span>({1,2,3})</span> other than the permutation (231) are closed.</p></div>","PeriodicalId":54135,"journal":{"name":"Arabian Journal of Mathematics","volume":"12 1","pages":"161 - 172"},"PeriodicalIF":1.2,"publicationDate":"2022-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40065-022-00394-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50475784","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 (mu )-strong Cesaro summability at infinity and its application to the Fourier–Stieltjes transforms 关于无穷远处的（μ）-强Cesaro可和性及其在Fourier–Stieltjes变换中的应用
IF 1.2
Arabian Journal of Mathematics Pub Date : 2022-09-08 DOI: 10.1007/s40065-022-00393-x
S. R. Sadigova
{"title":"On (mu )-strong Cesaro summability at infinity and its application to the Fourier–Stieltjes transforms","authors":"S. R. Sadigova","doi":"10.1007/s40065-022-00393-x","DOIUrl":"10.1007/s40065-022-00393-x","url":null,"abstract":"<div><p>The concept of <span>(mu )</span>-strong Cesaro summability at infinity for a locally integrable function is introduced in this work. The concept of <span>(mu )</span>-statistical convergence at infinity is also considered and the relationship between these two concepts is established. The concept of <span>(mu left[ pright] )</span>-strong convergence at infinity point, generated by the measure <span>(mu left( cdot right) )</span> is also considered. Similar results are obtained in this case too. This approach is applied to the study of the convergence of the Fourier–Stieltjes transforms.</p></div>","PeriodicalId":54135,"journal":{"name":"Arabian Journal of Mathematics","volume":"12 1","pages":"233 - 245"},"PeriodicalIF":1.2,"publicationDate":"2022-09-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40065-022-00393-x.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50464177","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
Stabilization of a uniform rotating disk-beam-mass system with boundary input disturbance 具有边界输入扰动的均匀旋转圆盘梁-质量系统的镇定
IF 1.2
Arabian Journal of Mathematics Pub Date : 2022-09-07 DOI: 10.1007/s40065-022-00391-z
My Driss Aouragh, Mohamed Nahli, M’hamed Segaoui
{"title":"Stabilization of a uniform rotating disk-beam-mass system with boundary input disturbance","authors":"My Driss Aouragh,&nbsp;Mohamed Nahli,&nbsp;M’hamed Segaoui","doi":"10.1007/s40065-022-00391-z","DOIUrl":"10.1007/s40065-022-00391-z","url":null,"abstract":"<div><p>In this paper, we study the stabilization problem of a disk beam structure with disturbance. Specifically, the structure consists of a beam clamped at one end to the center of a rotating rigid disk, while the other end is attached to a tip mass subject to a non-uniform bounded disturbance. We start the investigation by designing the controller via the Active disturbance rejection control (ADRC) approach. The high gain extended state observer (ESO) is first designed to estimate the disturbance, then the feedback observer-based controller is designed to employ the estimation to cancel the disturbance effect. Furthermore, the well-posedeness of the controlled system is proved using the semigroup theory. Using the Lyapunov method, the exponential stability is proved. Finally, the performance of the control method is illustrated by simulation results.</p></div>","PeriodicalId":54135,"journal":{"name":"Arabian Journal of Mathematics","volume":"12 1","pages":"35 - 48"},"PeriodicalIF":1.2,"publicationDate":"2022-09-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40065-022-00391-z.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50460704","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
Maximal regularity for semilinear non-autonomous evolution equations in temporally weighted spaces 时间加权空间中非线性非自治演化方程的极大正则性
IF 1.2
Arabian Journal of Mathematics Pub Date : 2022-09-07 DOI: 10.1007/s40065-022-00390-0
Tebbani Hossni, Achache Mahdi
{"title":"Maximal regularity for semilinear non-autonomous evolution equations in temporally weighted spaces","authors":"Tebbani Hossni,&nbsp;Achache Mahdi","doi":"10.1007/s40065-022-00390-0","DOIUrl":"10.1007/s40065-022-00390-0","url":null,"abstract":"<div><p>We consider the problem of maximal regularity for the semilinear non-autonomous evolution equations </p><div><div><span>$$begin{aligned} u'(t)+A(t)u(t)=F(t,u),, t text {-a.e.}, , u(0)=u_0. end{aligned}$$</span></div></div><p>Here, the time-dependent operators <i>A</i>(<i>t</i>) are associated with (time dependent) sesquilinear forms on a Hilbert space <span>(mathcal {H}.)</span> We prove the maximal regularity result in temporally weighted <span>(L^2)</span>-spaces and other regularity properties for the solution of the previous problem under minimal regularity assumptions on the forms, the initial value <span>(u_0)</span> and the inhomogeneous term <i>F</i>. Our results are motivated by boundary value problems.</p></div>","PeriodicalId":54135,"journal":{"name":"Arabian Journal of Mathematics","volume":"11 3","pages":"539 - 547"},"PeriodicalIF":1.2,"publicationDate":"2022-09-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40065-022-00390-0.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50461291","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
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