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Arabian Journal of Mathematics最新文献

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Maia type fixed point theorems for contraction and nonexpansive Ćirić–Prešić operators in ordered spaces 有序空间中收缩和非扩张Ćirić-Prešić算子的Maia型不动点定理
IF 0.9
Arabian Journal of Mathematics Pub Date : 2024-12-20 DOI: 10.1007/s40065-024-00487-8
Eduardo Daniel Jorquera Álvarez
{"title":"Maia type fixed point theorems for contraction and nonexpansive Ćirić–Prešić operators in ordered spaces","authors":"Eduardo Daniel Jorquera Álvarez","doi":"10.1007/s40065-024-00487-8","DOIUrl":"10.1007/s40065-024-00487-8","url":null,"abstract":"<div><p>The main aim of this paper is to state nonexpansive Maia type fixed point theorems for Ćirić–Prešić operators in normed spaces endowed with a partial order. For this we do a thorough analysis in the hypotheses of our theorems, considering different properties of completeness, compactness, convexity and bounding. We state Maia type fixed point theorems for contraction and nonexpansive Ćirić–Prešić operators, including those defined by a multiply metric function. Fixed point theorems in spaces without a partial order, as well as, corollaries for monotone nonexpansive mappings are stated too. Our theorems generalize and improve results given by Ćirić and Prešić’s (Acta Math Univ Comenian (NS) 76:143–147, 2007) and Balazs (Mathematica 10:18–31, 2018) and extend them to nonexpansive operators.</p></div>","PeriodicalId":54135,"journal":{"name":"Arabian Journal of Mathematics","volume":"13 3","pages":"469 - 483"},"PeriodicalIF":0.9,"publicationDate":"2024-12-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40065-024-00487-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142906049","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
Correction: On controllability of driftless control systems on symmetric spaces 修正：关于对称空间上无漂控制系统的可控性
IF 0.9
Arabian Journal of Mathematics Pub Date : 2024-12-18 DOI: 10.1007/s40065-024-00490-z
Archana Tiwari, Rudra Narayan Padhan, Kishor Chandra Pati
{"title":"Correction: On controllability of driftless control systems on symmetric spaces","authors":"Archana Tiwari,&nbsp;Rudra Narayan Padhan,&nbsp;Kishor Chandra Pati","doi":"10.1007/s40065-024-00490-z","DOIUrl":"10.1007/s40065-024-00490-z","url":null,"abstract":"","PeriodicalId":54135,"journal":{"name":"Arabian Journal of Mathematics","volume":"13 3","pages":"703 - 703"},"PeriodicalIF":0.9,"publicationDate":"2024-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40065-024-00490-z.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142906046","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
Global well-posedness and analyticity for the fractional stochastic Hall-magnetohydrodynamics system in the Besov–Morrey spaces Besov-Morrey空间中分数阶随机hall -磁流体动力学系统的全局适定性和解析性
IF 0.9
Arabian Journal of Mathematics Pub Date : 2024-12-13 DOI: 10.1007/s40065-024-00488-7
Hassan Khaider, Achraf Azanzal, Abderrahmane Raji
{"title":"Global well-posedness and analyticity for the fractional stochastic Hall-magnetohydrodynamics system in the Besov–Morrey spaces","authors":"Hassan Khaider,&nbsp;Achraf Azanzal,&nbsp;Abderrahmane Raji","doi":"10.1007/s40065-024-00488-7","DOIUrl":"10.1007/s40065-024-00488-7","url":null,"abstract":"<div><p>This paper studies the existence and uniqueness of solution for the fractional Hall-magnetohydrodynamics system (HMH) and with two stochastic terms (SHMH). Based on the theory of Besov–Morrey spaces and the contraction principle, we will demonstrate tow main result. The first result shows the existence, uniqueness and the analyticity of solution for (HMH) in Besov–Morrey spaces <span>(textrm{N}_{p,lambda }^{s})</span>. The second result prove the existence and uniqueness of solution for (SHMH) in <span>({mathcal {L}}_0^1big (Omega times (0,T),{mathcal {P}};{mathcal {M}}_p^lambda big ) cap textrm{N}_{p,lambda }^{s})</span>.</p></div>","PeriodicalId":54135,"journal":{"name":"Arabian Journal of Mathematics","volume":"13 3","pages":"583 - 594"},"PeriodicalIF":0.9,"publicationDate":"2024-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40065-024-00488-7.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142906016","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
Nonparametric estimation of bivariate cumulative distribution function 二元累积分布函数的非参数估计
IF 0.9
Arabian Journal of Mathematics Pub Date : 2024-12-06 DOI: 10.1007/s40065-024-00489-6
Behzad Mansouri, Azam Rastin, Habib Allah Mombeni
{"title":"Nonparametric estimation of bivariate cumulative distribution function","authors":"Behzad Mansouri,&nbsp;Azam Rastin,&nbsp;Habib Allah Mombeni","doi":"10.1007/s40065-024-00489-6","DOIUrl":"10.1007/s40065-024-00489-6","url":null,"abstract":"<div><p>This paper proposes a nonparametric estimation of the cumulative distribution function of bivariate bounded data using the Birnbaum–Saunders kernel. We obtain its asymptotic properties and conduct a numerical study. The results demonstrate the superiority of the proposed estimator over the empirical distribution function and ordinary kernel estimator. We use the proposed estimator to analyse a real data set.</p></div>","PeriodicalId":54135,"journal":{"name":"Arabian Journal of Mathematics","volume":"13 3","pages":"621 - 632"},"PeriodicalIF":0.9,"publicationDate":"2024-12-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40065-024-00489-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142905983","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 types of elements, Gelfand and strongly harmonic rings of skew PBW extensions over weak compatible rings 弱相容环上斜PBW扩展的单元、Gelfand和强调和环的类型
IF 0.9
Arabian Journal of Mathematics Pub Date : 2024-12-02 DOI: 10.1007/s40065-024-00485-w
Andrés Chacón, Sebastián Higuera, Armando Reyes
{"title":"On types of elements, Gelfand and strongly harmonic rings of skew PBW extensions over weak compatible rings","authors":"Andrés Chacón,&nbsp;Sebastián Higuera,&nbsp;Armando Reyes","doi":"10.1007/s40065-024-00485-w","DOIUrl":"10.1007/s40065-024-00485-w","url":null,"abstract":"<div><p>We investigate and characterize several kinds of elements such as units, idempotents, von Neumann regular, <span>(pi )</span>-regular and clean elements for skew PBW extensions over weak compatible rings. We also study the notions of Gelfand and Harmonic rings for these families of algebras. The results presented here extend those corresponding in the literature for commutative and noncommutative rings of polynomial type.</p></div>","PeriodicalId":54135,"journal":{"name":"Arabian Journal of Mathematics","volume":"13 3","pages":"651 - 661"},"PeriodicalIF":0.9,"publicationDate":"2024-12-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40065-024-00485-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142905977","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 centrally-extended left derivations in rings 环上的中心扩展左导
IF 0.9
Arabian Journal of Mathematics Pub Date : 2024-11-26 DOI: 10.1007/s40065-024-00481-0
Aziza Gouda, H. Nabiel
{"title":"On centrally-extended left derivations in rings","authors":"Aziza Gouda,&nbsp;H. Nabiel","doi":"10.1007/s40065-024-00481-0","DOIUrl":"10.1007/s40065-024-00481-0","url":null,"abstract":"<div><p>We aim to introduce the concept of centrally-extended left derivations and prove some related results to this new concept. The first part is devoted to prove that a centrally extended left derivation preserves the center of semiprime rings. The second part deals with equivalence between left derivations and our new concept. Finally we provide some results regarding commutativity.</p></div>","PeriodicalId":54135,"journal":{"name":"Arabian Journal of Mathematics","volume":"13 3","pages":"513 - 519"},"PeriodicalIF":0.9,"publicationDate":"2024-11-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40065-024-00481-0.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142906088","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
Some new congruences for overcubic partitions with r-tuples 具有r元组的过三次分区的一些新的同余
IF 0.9
Arabian Journal of Mathematics Pub Date : 2024-11-25 DOI: 10.1007/s40065-024-00480-1
Pujashree Buragohain, Nipen Saikia
{"title":"Some new congruences for overcubic partitions with r-tuples","authors":"Pujashree Buragohain,&nbsp;Nipen Saikia","doi":"10.1007/s40065-024-00480-1","DOIUrl":"10.1007/s40065-024-00480-1","url":null,"abstract":"<div><p>Kim (Ramanujan Math Soc Lect Notes Ser 14:157–163, 2010) introduced the overcubic partition function <span>(overline{a}(n))</span>, which represents the number of all the overlined versions of the cubic partition counted by <i>a</i>(<i>n</i>). Let <span>( overline{b}_r(n))</span> denote the number of overcubic partitions of <i>n</i> with <i>r</i>-tuples. Several authors established many particular and infinite families of congruences for <span>( overline{b}_2(n))</span>. In this paper, we show that <span>( overline{b}_{2^beta m+t}(n)equiv overline{b}_{t}(n) ,(mod ,2^{beta +1}), )</span> where <span>(beta ge 1)</span>, <span>(mge 0)</span>, and <span>(tge 1)</span> are integers. We also prove some new congruences modulo 8, 16 and 32 for <span>(overline{b}_{4m+2}(n))</span>, <span>(overline{b}_{4m+3}(n))</span>, <span>(overline{b}_{8m+2}(n))</span>, <span>(overline{b}_{8m+4}(n))</span> and <span>(overline{b}_{16m+4}(n))</span>, where <i>m</i> is any non-negative integer.</p></div>","PeriodicalId":54135,"journal":{"name":"Arabian Journal of Mathematics","volume":"13 3","pages":"663 - 677"},"PeriodicalIF":0.9,"publicationDate":"2024-11-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40065-024-00480-1.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142906098","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 the transcendence of pairs of certain Rosen continued fractions 关于某些罗森连分数对的超越性
IF 0.9
Arabian Journal of Mathematics Pub Date : 2024-11-25 DOI: 10.1007/s40065-024-00484-x
Khouloud Dammak, Mohamed Hbaib
{"title":"On the transcendence of pairs of certain Rosen continued fractions","authors":"Khouloud Dammak,&nbsp;Mohamed Hbaib","doi":"10.1007/s40065-024-00484-x","DOIUrl":"10.1007/s40065-024-00484-x","url":null,"abstract":"<div><p>In this paper, we present novel transcendence results for the certain Rosen continued fractions by using the Subspace Theorem.</p></div>","PeriodicalId":54135,"journal":{"name":"Arabian Journal of Mathematics","volume":"13 3","pages":"549 - 559"},"PeriodicalIF":0.9,"publicationDate":"2024-11-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40065-024-00484-x.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142906099","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
Dynamical structures of optical solitons for highly dispersive perturbed NLSE with (beta )-fractional derivatives and a sextic power-law refractive index using a novel approach 利用一种新方法研究具有(beta ) -分数阶导数和六次方幂律折射率的高色散摄动NLSE光孤子的动力学结构
IF 0.9
Arabian Journal of Mathematics Pub Date : 2024-11-25 DOI: 10.1007/s40065-024-00486-9
Eman H. M. Abdullah, Hamdy M. Ahmed, Afaf A. S. Zaghrout, Amal Ibrahim Ahmed Bahnasy, Wafaa B. Rabie
{"title":"Dynamical structures of optical solitons for highly dispersive perturbed NLSE with (beta )-fractional derivatives and a sextic power-law refractive index using a novel approach","authors":"Eman H. M. Abdullah,&nbsp;Hamdy M. Ahmed,&nbsp;Afaf A. S. Zaghrout,&nbsp;Amal Ibrahim Ahmed Bahnasy,&nbsp;Wafaa B. Rabie","doi":"10.1007/s40065-024-00486-9","DOIUrl":"10.1007/s40065-024-00486-9","url":null,"abstract":"<div><p>In this paper, we investigate the highly dispersive perturbed nonlinear Schrödinger equation (NLSE) with <span>(beta )</span>-fractional derivatives, generalized nonlocal laws and sextic-power law refractive index. This equation is crucial for modeling complex phenomena in nonlinear optics, such as soliton formation, light pulse propagation in optical fibers, and light wave control, with potential applications in designing efficient optical communication devices. Furthermore, it provides a framework for understanding the intricate interactions between high dispersion, nonlocality, and complex nonlinearity, contributing to the development of new theories in wave physics. To accomplish this, we use the modified extended direct algebraic method. A variety of distinct traveling wave solutions are furnished. The obtained solutions comprise dark, bright, combo bright-dark and singular soliton solutions. Additionally, singular periodic solutions, rational and exponential solutions. Furthermore, graphical simulations are presented that highlight the distinctive characteristics of these solutions. Compared to Nofal et al. (Optik 228:166120, 2021), the proposed technique produced novel and diversified results. The results showcase the significant influence of fractional derivatives in shaping the characteristics of the soliton solutions, which is crucial for accurately modeling the dispersive and nonlocal effects in optical fibers. The extracted solutions confirmed the efficacy and strength of the current approach. The parameter constraints ensure the existence of the obtained soliton solutions. It is worth noting that the proposed method, being effective, consistent, and influential, can be applied to solve various other physical models and related disciplines.</p></div>","PeriodicalId":54135,"journal":{"name":"Arabian Journal of Mathematics","volume":"13 3","pages":"441 - 454"},"PeriodicalIF":0.9,"publicationDate":"2024-11-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40065-024-00486-9.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142906085","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 generalization of modified (alpha )-Bernstein operators and its related estimations and errors 修正(alpha ) -Bernstein算子的概化及其相关的估计和误差
IF 0.9
Arabian Journal of Mathematics Pub Date : 2024-11-25 DOI: 10.1007/s40065-024-00482-z
Jaspreet Kaur, Meenu Goyal, Khursheed J. Ansari
{"title":"A generalization of modified (alpha )-Bernstein operators and its related estimations and errors","authors":"Jaspreet Kaur,&nbsp;Meenu Goyal,&nbsp;Khursheed J. Ansari","doi":"10.1007/s40065-024-00482-z","DOIUrl":"10.1007/s40065-024-00482-z","url":null,"abstract":"<div><p>In the present article, we introduce a novel generalization of modified Bernstein operators which is again a positive linear operator. We show the necessary and sufficient condition for the convergence of these operators. We also study some other approximation properties of these operators using standard tools of approximation theory.</p></div>","PeriodicalId":54135,"journal":{"name":"Arabian Journal of Mathematics","volume":"13 3","pages":"521 - 531"},"PeriodicalIF":0.9,"publicationDate":"2024-11-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40065-024-00482-z.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142906097","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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