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Characterization of Aluthge Transform of Composition Operators 复合算子Aluthge变换的表征
Mathematical Analysis and Convex Optimization Pub Date : 2021-06-01 DOI: 10.52547/MACO.2.1.3
M. Sohrabi
{"title":"Characterization of Aluthge Transform of Composition Operators","authors":"M. Sohrabi","doi":"10.52547/MACO.2.1.3","DOIUrl":"https://doi.org/10.52547/MACO.2.1.3","url":null,"abstract":"","PeriodicalId":360771,"journal":{"name":"Mathematical Analysis and Convex Optimization","volume":"104 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117185318","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}
引用次数: 0
Polynomial differential quadrature method for numerical solution of the generalized Black-Scholes ‎equation 广义Black-Scholes方程数值解的多项式微分求积分法
Mathematical Analysis and Convex Optimization Pub Date : 2021-06-01 DOI: 10.52547/MACO.2.1.12
Zahra sarvari, M. Ranjbar, S. Rezapour
{"title":"Polynomial differential quadrature method for numerical solution of the generalized Black-Scholes ‎equation","authors":"Zahra sarvari, M. Ranjbar, S. Rezapour","doi":"10.52547/MACO.2.1.12","DOIUrl":"https://doi.org/10.52547/MACO.2.1.12","url":null,"abstract":"","PeriodicalId":360771,"journal":{"name":"Mathematical Analysis and Convex Optimization","volume":"15 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128539551","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}
引用次数: 0
Conformally Flat 4-th root (α, β)-Metrics with Relatively Isotropic Mean Landsberg Curvature 共形平坦四次根(α， β)-具有相对各向同性平均Landsberg曲率的度量
Mathematical Analysis and Convex Optimization Pub Date : 2020-12-01 DOI: 10.29252/MACO.1.2.3
A. Tayebi, Marzeiya Amini
{"title":"Conformally Flat 4-th root (α, β)-Metrics with Relatively Isotropic Mean Landsberg Curvature","authors":"A. Tayebi, Marzeiya Amini","doi":"10.29252/MACO.1.2.3","DOIUrl":"https://doi.org/10.29252/MACO.1.2.3","url":null,"abstract":"In this paper, we study conformally flat 4-th root (α, β)metrics on a manifold M of dimension n ≥ 3. We prove that every conformally flat 4-th root (α, β)-metric with relatively isotropic mean Landsberg curvature must be either Riemannian metrics or locally Minkowski metrics. MSC(2010): 53B40; 53C60.","PeriodicalId":360771,"journal":{"name":"Mathematical Analysis and Convex Optimization","volume":"75 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124986446","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}
引用次数: 0
A Variational Inequality Approach for One Dimensional Stefan Problem 一维Stefan问题的变分不等式方法
Mathematical Analysis and Convex Optimization Pub Date : 2020-12-01 DOI: 10.29252/MACO.1.2.4
M. Moradipour
{"title":"A Variational Inequality Approach for One Dimensional Stefan Problem","authors":"M. Moradipour","doi":"10.29252/MACO.1.2.4","DOIUrl":"https://doi.org/10.29252/MACO.1.2.4","url":null,"abstract":". In this paper, we develop a numerical method to solve a famous free boundary PDE called the one dimensional Stefan problem. First, we rewrite the PDE as a variational inequality problem (VIP). Using the linear finite element method, we discretize the variational inequality and achieve a linear complementarity problem (LCP). We present some existence and uniqueness theorems for solutions of the un-derlying variational inequalities and free boundary problems. Finally we solve the LCP numerically by applying a modification of the active set strategy.","PeriodicalId":360771,"journal":{"name":"Mathematical Analysis and Convex Optimization","volume":"38 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116918659","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}
引用次数: 0
Fixed Point Results in Complex Valued Rectangular Extended $b$-Metric Spaces with Applications 复值矩形扩展$b$-度量空间的不动点结果及其应用
Mathematical Analysis and Convex Optimization Pub Date : 2020-12-01 DOI: 10.29252/MACO.1.2.11
S. Mohammed, N. Ullah
{"title":"Fixed Point Results in Complex Valued Rectangular Extended $b$-Metric Spaces with Applications","authors":"S. Mohammed, N. Ullah","doi":"10.29252/MACO.1.2.11","DOIUrl":"https://doi.org/10.29252/MACO.1.2.11","url":null,"abstract":". In this article, two new fixed point results in the framework of complex-valued rectangular extended b -metric space are established. Our results include as special cases, some well-known results in the corresponding literature. We provide nontrivial examples and an existence theorem of a Fredholm type integral equation to support our assertions and to indicate a usability of the results presented herein.","PeriodicalId":360771,"journal":{"name":"Mathematical Analysis and Convex Optimization","volume":"89 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124955190","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}
引用次数: 3
A New Method for Solving Nonlinear Volterra-Hammerstein Integral Equations Via Single-Term Walsh Series 用单项Walsh级数求解非线性Volterra-Hammerstein积分方程的新方法
Mathematical Analysis and Convex Optimization Pub Date : 2020-12-01 DOI: 10.29252/MACO.1.2.6
B. Sepehrian, M. Razzaghi
{"title":"A New Method for Solving Nonlinear Volterra-Hammerstein Integral Equations Via Single-Term Walsh Series","authors":"B. Sepehrian, M. Razzaghi","doi":"10.29252/MACO.1.2.6","DOIUrl":"https://doi.org/10.29252/MACO.1.2.6","url":null,"abstract":"In this article, the properties of single-term Walsh series are presented and utilized for solving the nonlinear Volterra-Hammerstein integral equations of second kind. The interval [0, 1) is divided to m equal subintervals, m is a positive integer number. The midpoint of each subinterval is chosen as a suitable collocation point. By the method the computations of integral equations reduce into some nonlinear algebraic equations. The method is computationally attractive, and gives a continuous approximate solution. An analysis for the convergence of method is presented. The efficiency and accuracy of the method are demonstrated through illustrative examples. Some comparisons are made with the existing results. MSC(2010): 65N06","PeriodicalId":360771,"journal":{"name":"Mathematical Analysis and Convex Optimization","volume":"34 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131635891","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}
引用次数: 1
The Product Between Three Banach Algebras 三个巴拿赫代数的乘积
Mathematical Analysis and Convex Optimization Pub Date : 2020-12-01 DOI: 10.29252/MACO.1.2.2
A. Khotanloo
{"title":"The Product Between Three Banach Algebras","authors":"A. Khotanloo","doi":"10.29252/MACO.1.2.2","DOIUrl":"https://doi.org/10.29252/MACO.1.2.2","url":null,"abstract":". Let A , B , and C be Banach algebras, (cid:11) 2 Hom ( A ; B ) and (cid:12) 2 Hom ( C ; B ) , and ∥ (cid:11) ∥(cid:20) 1 , ∥ (cid:12) ∥(cid:20) 1 . IN this paper we define the Banach algebra A(cid:2) (cid:11) B(cid:2) (cid:12) C by new product on A(cid:2)B(cid:2)C which is a strongly splitting extension of C by B . Then we show that these products from a large class of Banach algebras which contains all module extensions and triangular Banach algebras. Finally we consider spectrum, Arens regularity, amenability and weak amenability of these products.","PeriodicalId":360771,"journal":{"name":"Mathematical Analysis and Convex Optimization","volume":"417 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123005950","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}
引用次数: 0
Variational Inequalities on 2-Inner Product Spaces 2-内积空间上的变分不等式
Mathematical Analysis and Convex Optimization Pub Date : 2020-12-01 DOI: 10.29252/MACO.1.2.7
H. Fathi, S. Hosseinioun
{"title":"Variational Inequalities on 2-Inner Product Spaces","authors":"H. Fathi, S. Hosseinioun","doi":"10.29252/MACO.1.2.7","DOIUrl":"https://doi.org/10.29252/MACO.1.2.7","url":null,"abstract":"We introduce variational inequality problems on 2-inner product spaces and prove several existence results for variational inequalities defined on closed convex sets. Also, the relation between variational inequality problems, best approximation problems and fixed point theory is studied. MSC(2010): 58E35; 46B99; 47H10.","PeriodicalId":360771,"journal":{"name":"Mathematical Analysis and Convex Optimization","volume":"41 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126413342","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}
引用次数: 0
Enhanced Multi-Objective Voting Data Envelopment Analysis Models with Common Set of Weights 基于公共权集的改进多目标投票数据包络分析模型
Mathematical Analysis and Convex Optimization Pub Date : 2020-12-01 DOI: 10.29252/MACO.1.2.5
M. Izadikhah, E. Karapınar
{"title":"Enhanced Multi-Objective Voting Data Envelopment Analysis Models with Common Set of Weights","authors":"M. Izadikhah, E. Karapınar","doi":"10.29252/MACO.1.2.5","DOIUrl":"https://doi.org/10.29252/MACO.1.2.5","url":null,"abstract":". The important issue of the aggregation preference is how to determine the weights associated with different ranking places and DEA models play an important role in this subject. DEA models use assignments of the same aggregate value (equal to unity) to evaluate multiple alternatives as efficient. Furthermore, overly diverse weights can appear, thus, the efficiency of different alternatives obtained by different sets of weights may be unable to be compared and ranked on the same basis. In order to solve two above problems, and rank all the alternatives on the same scale, in this paper, we propose a multiple objective programming (MOP) approach for generating a common set of weights in the DEA framework. Also, we develop a novel model to make a maximum discriminating among candidates’ rankings. Additionally, we present two scenarios to provide suitable strategies for solving the proposed MOP model.","PeriodicalId":360771,"journal":{"name":"Mathematical Analysis and Convex Optimization","volume":"9 3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126005618","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}
引用次数: 0
Adams-Moulton Method Approach to Geodesic Paths on 2D Surfaces 二维表面测地线路径的Adams-Moulton方法
Mathematical Analysis and Convex Optimization Pub Date : 2020-12-01 DOI: 10.29252/MACO.1.2.8
E. Sharahi, Esmaiel Peyghan, A. Baghban
{"title":"Adams-Moulton Method Approach to Geodesic Paths on 2D Surfaces","authors":"E. Sharahi, Esmaiel Peyghan, A. Baghban","doi":"10.29252/MACO.1.2.8","DOIUrl":"https://doi.org/10.29252/MACO.1.2.8","url":null,"abstract":". Our aim in this paper, is applying Adams-Moulton algorithm to find the geodesics as the answers of the classical system of ordinary differential equations on a 2-dimensional surface for which a Riemannian metric is defined.","PeriodicalId":360771,"journal":{"name":"Mathematical Analysis and Convex Optimization","volume":"69 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134127441","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}
引用次数: 1
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