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Iterative algorithms for common fixed points of a countable family of quasi-nonexpansive multivalued mappings in CAT(0) spaces CAT(0) 空间中准无穷多值映射可数族共同定点的迭代算法
IF 2 4区 数学
Mathematical Sciences Pub Date : 2024-08-16 DOI: 10.1007/s40096-024-00524-9
Sani Salisu, Ma’aruf Shehu Minjibir
{"title":"Iterative algorithms for common fixed points of a countable family of quasi-nonexpansive multivalued mappings in CAT(0) spaces","authors":"Sani Salisu, Ma’aruf Shehu Minjibir","doi":"10.1007/s40096-024-00524-9","DOIUrl":"https://doi.org/10.1007/s40096-024-00524-9","url":null,"abstract":"<p>In this paper, we propose an iterative scheme for a common fixed point of a countable family of quasi-nonexpansive mappings. The scheme is computationally less expensive, built on a geodesic averaging technique involving only selected elements. At each iteration, the scheme requires only geodesic segments and no further technical looping or optimizations. Under distinct mild conditions, we establish both <span>(triangle)</span>-convergence and strong convergence result for the proposed scheme to the required point, assuming existence. Notably, the considered mappings need not have compact images, among other relaxed conditions. Additionally, numerical experiments conducted show the robustness of the scheme. The results presented in this paper, not only enhances the existing related literature, but also offers valuable complements to previous studies.</p>","PeriodicalId":48563,"journal":{"name":"Mathematical Sciences","volume":"5 1","pages":""},"PeriodicalIF":2.0,"publicationDate":"2024-08-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142192180","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Multiple-time-delay H $$_infty$$ controller synthesis for glycemic regulation of a hybrid diabetes system 用于混合糖尿病系统血糖调节的多时延 H $$_infty$ 控制器合成
IF 2 4区 数学
Mathematical Sciences Pub Date : 2024-07-02 DOI: 10.1007/s40096-024-00523-w
S. Syafiie
{"title":"Multiple-time-delay H $$_infty$$ controller synthesis for glycemic regulation of a hybrid diabetes system","authors":"S. Syafiie","doi":"10.1007/s40096-024-00523-w","DOIUrl":"https://doi.org/10.1007/s40096-024-00523-w","url":null,"abstract":"<p>A mathematical model is used to represent a physical system. To mimic closely to a real system, the mathematical model may present in functional differential equations. Most of the processes exhibit multiple time-varying delayed phenomena. This paper aims to develop a memory-less controller that achieves H<span>(_infty)</span> performance for disturbance rejection. The proposed technique for controller design ensures closed-loop stability of a chosen Lyapunov-Krasovskii functional (LKF). while, the integral functions derived from the LKF’s derivative are addressed through the utilization of free matrix inequality The development of stability condition is presented in linear matrix inequality. Based on the developed stability condition, the optimal controller gain is obtained after minimization of the H<span>(_infty)</span> performance. The proposed controller design technique is simulated to stabilize a diabetes system upon periodic glucose absorption as a disturbance function. Clearly, the controller is able to regulate insulin maintaining the blood glucose concentration to the healthy patient concentration upon introducing meal ingestion as periodic disturbances. Compare to an existing method, the proposed controller has lower peak in the rejecting the introducing disturbances.</p>","PeriodicalId":48563,"journal":{"name":"Mathematical Sciences","volume":"69 1","pages":""},"PeriodicalIF":2.0,"publicationDate":"2024-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141508729","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Sixth-order compact difference scheme and multigrid method for solving the Poisson equation 求解泊松方程的六阶紧凑差分方案和多网格法
IF 2 4区 数学
Mathematical Sciences Pub Date : 2024-01-29 DOI: 10.1007/s40096-023-00522-3
{"title":"Sixth-order compact difference scheme and multigrid method for solving the Poisson equation","authors":"","doi":"10.1007/s40096-023-00522-3","DOIUrl":"https://doi.org/10.1007/s40096-023-00522-3","url":null,"abstract":"<h3>Abstract</h3> <p>This paper proposes a sixth-order compact difference scheme of Poisson equation based on the sixth-order compact difference operator of the second derivative. The biggest difference between the proposed scheme and other sixth-order scheme is that the right hand contains second partial derivation of source term; this term makes the proposed scheme more accurate than other sixth-order schemes. The proposed scheme is combined with the multigrid method to solve two- and three-dimensional Poisson equations with Dirichlet boundary conditions. The result is compared with other sixth-order schemes in several numerical experiments. The numerical results show that the proposed scheme achieves the desired accuracy and has smaller errors than other schemes of the same order. Further, the multigrid method is higher efficient than traditional iterative method in accelerating the convergence.</p>","PeriodicalId":48563,"journal":{"name":"Mathematical Sciences","volume":"65 1","pages":""},"PeriodicalIF":2.0,"publicationDate":"2024-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139582921","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Existence of the solution of nonlinear fractional differential equations via new best proximity point results 通过新的最佳临近点结果求解非线性分数微分方程的存在性
IF 2 4区 数学
Mathematical Sciences Pub Date : 2024-01-16 DOI: 10.1007/s40096-023-00521-4
{"title":"Existence of the solution of nonlinear fractional differential equations via new best proximity point results","authors":"","doi":"10.1007/s40096-023-00521-4","DOIUrl":"https://doi.org/10.1007/s40096-023-00521-4","url":null,"abstract":"<h3>Abstract</h3> <p>In this paper, we obtain some best proximity point results by introducing the concepts of proximal <em>p</em>-contractions of the first type and proximal <em>p</em> -contractions of the second type on partial metric spaces. Thus, some famous results in the literature such as the main result of Altun et al. (Acta Math Hung 162:393–402, 2020) and Basha (J Approx Theory 163(11):1772–1781, 2011) have been extended. Also, we provide some examples where our results are applicable and the results in Haghi et al. (Topol Appl 160:450–454, 2013) are not. Hence, our results are a real generalization of some results in metric spaces and partial metric spaces. Finally, we obtain sufficient conditions for the existence of the solution of nonlinear fractional differential equations via our results.</p>","PeriodicalId":48563,"journal":{"name":"Mathematical Sciences","volume":"31 1","pages":""},"PeriodicalIF":2.0,"publicationDate":"2024-01-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139475605","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Solving inverse Sturm–Liouville problem featuring a constant delay by Chebyshev interpolation method 用切比雪夫插值法解决具有恒定延迟的斯特姆-利乌维尔逆问题
IF 2 4区 数学
Mathematical Sciences Pub Date : 2024-01-02 DOI: 10.1007/s40096-023-00520-5
A. Dabbaghian, S. Akbarpoor Kiasary, H. Koyunbakan, B. Agheli
{"title":"Solving inverse Sturm–Liouville problem featuring a constant delay by Chebyshev interpolation method","authors":"A. Dabbaghian, S. Akbarpoor Kiasary, H. Koyunbakan, B. Agheli","doi":"10.1007/s40096-023-00520-5","DOIUrl":"https://doi.org/10.1007/s40096-023-00520-5","url":null,"abstract":"<p>The inverse nodal problem for Sturm–Liouville operator with a constant delay has been investigated in the present paper. To do so, we have computed the nodal points and nodal lengths. Therefore, we have tried Chebyshev interpolation technique (CIT) to obtain the numerical solution of inverse nodal problem. Following that, a number of numerical examples have been given. The numerical calculations in the present paper have been conducted via pc applying some programs encoded in Matlab software.</p>","PeriodicalId":48563,"journal":{"name":"Mathematical Sciences","volume":"33 2 1","pages":""},"PeriodicalIF":2.0,"publicationDate":"2024-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139080208","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Traveling fronts of viscous Burgers’ equations with the nonlinear degenerate viscosity 具有非线性退化粘性的粘性Burgers方程的行前
4区 数学
Mathematical Sciences Pub Date : 2023-09-13 DOI: 10.1007/s40096-023-00519-y
Mohammad Ghani, None Nurwidiyanto
{"title":"Traveling fronts of viscous Burgers’ equations with the nonlinear degenerate viscosity","authors":"Mohammad Ghani, None Nurwidiyanto","doi":"10.1007/s40096-023-00519-y","DOIUrl":"https://doi.org/10.1007/s40096-023-00519-y","url":null,"abstract":"","PeriodicalId":48563,"journal":{"name":"Mathematical Sciences","volume":"50 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135689443","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
An adaptive finite element method for Riesz fractional partial integro-differential equations Riesz分数阶偏积分微分方程的自适应有限元法
IF 2 4区 数学
Mathematical Sciences Pub Date : 2023-08-09 DOI: 10.1007/s40096-023-00518-z
E. Adel, I. El-Kalla, A. Elsaid, M. Sameeh
{"title":"An adaptive finite element method for Riesz fractional partial integro-differential equations","authors":"E. Adel, I. El-Kalla, A. Elsaid, M. Sameeh","doi":"10.1007/s40096-023-00518-z","DOIUrl":"https://doi.org/10.1007/s40096-023-00518-z","url":null,"abstract":"","PeriodicalId":48563,"journal":{"name":"Mathematical Sciences","volume":"1 1","pages":""},"PeriodicalIF":2.0,"publicationDate":"2023-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79947242","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Implicitly restarted global Krylov subspace methods for matrix equations $$AXB = C$$ 矩阵方程的隐式重新启动全局Krylov子空间方法 $$AXB = C$$
IF 2 4区 数学
Mathematical Sciences Pub Date : 2023-06-26 DOI: 10.1007/s40096-023-00516-1
Najmeh Azizizadeh, A. Tajaddini, A. Rafiei
{"title":"Implicitly restarted global Krylov subspace methods for matrix equations $$AXB = C$$","authors":"Najmeh Azizizadeh, A. Tajaddini, A. Rafiei","doi":"10.1007/s40096-023-00516-1","DOIUrl":"https://doi.org/10.1007/s40096-023-00516-1","url":null,"abstract":"","PeriodicalId":48563,"journal":{"name":"Mathematical Sciences","volume":"77 1","pages":""},"PeriodicalIF":2.0,"publicationDate":"2023-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74809932","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Deterministic modelling of optimal control strategies for dengue fever transmission in two interconnected patches 两个相互连接的斑块中登革热传播最优控制策略的确定性建模
IF 2 4区 数学
Mathematical Sciences Pub Date : 2023-05-29 DOI: 10.1007/s40096-023-00517-0
A. Abidemi, N. Aziz, E. Pindza
{"title":"Deterministic modelling of optimal control strategies for dengue fever transmission in two interconnected patches","authors":"A. Abidemi, N. Aziz, E. Pindza","doi":"10.1007/s40096-023-00517-0","DOIUrl":"https://doi.org/10.1007/s40096-023-00517-0","url":null,"abstract":"","PeriodicalId":48563,"journal":{"name":"Mathematical Sciences","volume":"PP 1","pages":""},"PeriodicalIF":2.0,"publicationDate":"2023-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84321152","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A new adaptive Levenberg–Marquardt parameter with a nonmonotone and trust region strategies for the system of nonlinear equations 非线性方程组的一种新的具有非单调和信赖域策略的自适应Levenberg-Marquardt参数
IF 2 4区 数学
Mathematical Sciences Pub Date : 2023-04-25 DOI: 10.1007/s40096-023-00515-2
Zahra Rezaeiparsa, A. Ashrafi
{"title":"A new adaptive Levenberg–Marquardt parameter with a nonmonotone and trust region strategies for the system of nonlinear equations","authors":"Zahra Rezaeiparsa, A. Ashrafi","doi":"10.1007/s40096-023-00515-2","DOIUrl":"https://doi.org/10.1007/s40096-023-00515-2","url":null,"abstract":"","PeriodicalId":48563,"journal":{"name":"Mathematical Sciences","volume":"21 1","pages":""},"PeriodicalIF":2.0,"publicationDate":"2023-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90331928","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","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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