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Numerical Functional Analysis and Optimization最新文献

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A Characterization of (Weak) Nonhomogeneous Wavelet Dual Frames and Mixed Oblique Principle in Sobolev Spaces on the Half Real Line 半实线上Sobolev空间中（弱）非齐次小波对偶框架和混合倾斜原理的刻画
IF 1.2 4区 数学
Numerical Functional Analysis and Optimization Pub Date : 2023-05-21 DOI: 10.1080/01630563.2023.2209161
Yan Zhang, Yun‐Zhang Li
{"title":"A Characterization of (Weak) Nonhomogeneous Wavelet Dual Frames and Mixed Oblique Principle in Sobolev Spaces on the Half Real Line","authors":"Yan Zhang, Yun‐Zhang Li","doi":"10.1080/01630563.2023.2209161","DOIUrl":"https://doi.org/10.1080/01630563.2023.2209161","url":null,"abstract":"Abstract Due to being a group under Walsh addition ⊕, the wavelet frame theory on has been well developed in recent years. This paper addresses wavelet dual frames on Sobolev spaces defined on We introduce the Sobolev space with characterize (weak) nonhomogeneous wavelet dual frames for and establish mixed oblique extension principles for constructing them.","PeriodicalId":54707,"journal":{"name":"Numerical Functional Analysis and Optimization","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2023-05-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49510612","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
Diametrically Relatively Nonexpansive Mappings and a Characterization of Proximal Normal Structure 直径相对非膨胀映射和近端正法结构的表征
IF 1.2 4区 数学
Numerical Functional Analysis and Optimization Pub Date : 2023-05-19 DOI: 10.1080/01630563.2023.2212495
R. Gholipour, M. Gabeleh, H. Mazaheri
{"title":"Diametrically Relatively Nonexpansive Mappings and a Characterization of Proximal Normal Structure","authors":"R. Gholipour, M. Gabeleh, H. Mazaheri","doi":"10.1080/01630563.2023.2212495","DOIUrl":"https://doi.org/10.1080/01630563.2023.2212495","url":null,"abstract":"Abstract We consider a new type of cyclic (noncyclic) mappings, called diametrically relatively nonexpansive maps which contains properly the class of cyclic (noncyclic) relatively nonexpansive mappings. For such mappings we obtain existence results of best proximity points (pairs) in the framework of Busemann convex spaces and generalize the recent conclusions in this direction. We also present a characterization of proximal normal structure in term of best proximity points (pairs) for diametrically relatively nonexpansive mappings.","PeriodicalId":54707,"journal":{"name":"Numerical Functional Analysis and Optimization","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2023-05-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42758622","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
Analysis and Numerical Approach of a Coupled Thermo-Electro-Mechanical System for Nonlinear Hencky-Type Materials with Nonlocal Coulomb’s Friction 具有非局部库仑摩擦的非线性henky型材料热-电-机械耦合系统的分析与数值方法
IF 1.2 4区 数学
Numerical Functional Analysis and Optimization Pub Date : 2023-05-19 DOI: 10.1080/01630563.2023.2212496
El‐Hassan Benkhira, R. Fakhar, Y. Mandyly
{"title":"Analysis and Numerical Approach of a Coupled Thermo-Electro-Mechanical System for Nonlinear Hencky-Type Materials with Nonlocal Coulomb’s Friction","authors":"El‐Hassan Benkhira, R. Fakhar, Y. Mandyly","doi":"10.1080/01630563.2023.2212496","DOIUrl":"https://doi.org/10.1080/01630563.2023.2212496","url":null,"abstract":"Abstract The effects of an included temperature field in the contact process between a piezoelectric body and a rigid foundation with thermal and electrical conductivity are discussed. The constitutive relation of the material is assumed to be thermo-electro-elastic and involves the nonlinear elastic constitutive Hencky’s law. The frictional contact is modeled with Signorini’s conditions, the regularized Coulomb law, and the regularized electrical and thermal conductivity conditions. The resulting thermo-electromechanical model includes the temperature field as an additional state variable to take into account thermal effects alongside with those of the piezoelectric. The existence of the unique weak solution to the problem is established by using Schauder’s fixed point theorem combined with arguments from the theory of variational inequalities involving nonlinear strongly monotone Lipschitz continuous operators. A successive iteration technique to solve the problem numerically is proposed, and its convergence is established. A variant of the Augmented Lagrangian, the so-called Alternating Direction Method of multipliers (ADMM), is used to decompose the original problem into two sub-problems, solve them sequentially and update the dual variables at each iteration. The influence of the thermal boundary condition on the behavior of contact forces and electrical potential is shown through graphical illustrations.","PeriodicalId":54707,"journal":{"name":"Numerical Functional Analysis and Optimization","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2023-05-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42375955","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
Variational Approaches to a Discrete Elliptic Problem with a Weight 一个带权离散椭圆型问题的变分方法
IF 1.2 4区 数学
Numerical Functional Analysis and Optimization Pub Date : 2023-05-13 DOI: 10.1080/01630563.2023.2208868
Maisam Boroun, S. Heidarkhani
{"title":"Variational Approaches to a Discrete Elliptic Problem with a Weight","authors":"Maisam Boroun, S. Heidarkhani","doi":"10.1080/01630563.2023.2208868","DOIUrl":"https://doi.org/10.1080/01630563.2023.2208868","url":null,"abstract":"Abstract In this article, we are concerned with the existence of at least one, two and three distinct solutions for discrete boundary value problems driven by the Laplacian. The proof of the main result depends on variational methods. By using a consequence of the local minimum theorem due Bonanno we investigate the existence of at least one solution and two solutions for the problem with the weight. Furthermore, by using two critical point theorems, one due Averna and Bonanno, and another due Bonanno we explore the existence of two and three solutions for the problem. We also provide two examples in order to illustrate the main results.","PeriodicalId":54707,"journal":{"name":"Numerical Functional Analysis and Optimization","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2023-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45281071","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
Optimality Conditions for Multiobjective Optimization Problems via Image Space Analysis 基于图像空间分析的多目标优化问题最优性条件
IF 1.2 4区 数学
Numerical Functional Analysis and Optimization Pub Date : 2023-05-12 DOI: 10.1080/01630563.2023.2208867
Yingrang Xu, S. Li
{"title":"Optimality Conditions for Multiobjective Optimization Problems via Image Space Analysis","authors":"Yingrang Xu, S. Li","doi":"10.1080/01630563.2023.2208867","DOIUrl":"https://doi.org/10.1080/01630563.2023.2208867","url":null,"abstract":"Abstract In this article, optimality conditions on (weak) efficient solutions in multiobjective optimization problems are investigated by using the image space analysis. A class of strong separation functions is constructed by oriented distance functions. Simultaneously, a generalized Lagrange function is introduced by the class of strong separation functions. Then, generalized Karush-Kuhn-Tucker (KKT for short) necessary optimality conditions are established without constraint qualifications or regularity conditions. Under the suitable assumptions, Lagrangian-type sufficient optimality conditions are also characterized. Moreover, the difference between strong separation and weak separation methods is explained.","PeriodicalId":54707,"journal":{"name":"Numerical Functional Analysis and Optimization","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2023-05-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44295537","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
Total Asymptotically Nonexpansive Mappings and Generalized Variational Inclusion Problems: Algorithmic and Analytical Approach 全渐近非扩张映射与广义变分包含问题:算法与解析方法
IF 1.2 4区 数学
Numerical Functional Analysis and Optimization Pub Date : 2023-05-12 DOI: 10.1080/01630563.2023.2209147
J. Balooee, Shih-sen Chang, Min Liu, J. Yao
{"title":"Total Asymptotically Nonexpansive Mappings and Generalized Variational Inclusion Problems: Algorithmic and Analytical Approach","authors":"J. Balooee, Shih-sen Chang, Min Liu, J. Yao","doi":"10.1080/01630563.2023.2209147","DOIUrl":"https://doi.org/10.1080/01630563.2023.2209147","url":null,"abstract":"Abstract In this article, we pursue two goals. First, a new iterative scheme based on the resolvent operator method for finding a common element of the set of solutions of a generalized variational inclusion problem and the set of fixed points of a total asymptotically nonexpansive mapping in a real Banach space is constructed. Under some parameters controlling conditions, the strong convergence of the sequence generated by our proposed iterative algorithm to a common element of the above-mentioned two sets is proved. Our second purpose is to investigate and analyze the concept of H(.,.)-accretive operator that appeared in the literature and to point out some comments concerning it. Several new examples are also provided.","PeriodicalId":54707,"journal":{"name":"Numerical Functional Analysis and Optimization","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2023-05-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44908735","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 Stabilized Sequential Quadratic Programming Method for Optimization Problems in Function Spaces 函数空间优化问题的稳定序列二次规划方法
IF 1.2 4区 数学
Numerical Functional Analysis and Optimization Pub Date : 2023-04-27 DOI: 10.1080/01630563.2023.2178009
Yuya Yamakawa
{"title":"A Stabilized Sequential Quadratic Programming Method for Optimization Problems in Function Spaces","authors":"Yuya Yamakawa","doi":"10.1080/01630563.2023.2178009","DOIUrl":"https://doi.org/10.1080/01630563.2023.2178009","url":null,"abstract":"Abstract In this paper, we propose a stabilized sequential quadratic programming (SQP) method for optimization problems in function spaces. A form of the problem considered in this paper can widely formulate many types of applications, such as obstacle problems, optimal control problems, and so on. Moreover, the proposed method is based on the existing stabilized SQP method and can find a point satisfying the Karush-Kuhn-Tucker (KKT) or asymptotic KKT conditions. One of the remarkable points is that we prove its global convergence to such a point under some assumptions without any constraint qualifications. In addition, we guarantee that an arbitrary accumulation point generated by the proposed method satisfies the KKT conditions under several additional assumptions. Finally, we report some numerical experiments to examine the effectiveness of the proposed method.","PeriodicalId":54707,"journal":{"name":"Numerical Functional Analysis and Optimization","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2023-04-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43133804","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
On σ-Subdifferential Polarity and Fréchet σ-Subdifferential 关于S-次微分极性和Fréchet S-次微分
IF 1.2 4区 数学
Numerical Functional Analysis and Optimization Pub Date : 2023-04-26 DOI: 10.1080/01630563.2023.2172034
M. H. Alizadeh, Javad Hosseinabadi
{"title":"On σ-Subdifferential Polarity and Fréchet σ-Subdifferential","authors":"M. H. Alizadeh, Javad Hosseinabadi","doi":"10.1080/01630563.2023.2172034","DOIUrl":"https://doi.org/10.1080/01630563.2023.2172034","url":null,"abstract":"Abstract The notion of -monotone polarity for -subdifferential is introduced and studied. Also, the concept of Fréchet -subdifferential is introduced and then some results regarding this concept are obtained. In addition, some particular relationships between the -subdifferential and Fréchet -subdifferential are presented.","PeriodicalId":54707,"journal":{"name":"Numerical Functional Analysis and Optimization","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2023-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49539782","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 Study of an Iteratively-Regularized Simplified Landweber Iteration for Nonlinear Inverse Problems in Hilbert Spaces Hilbert空间中非线性逆问题的迭代正则化简化Landweber迭代研究
IF 1.2 4区 数学
Numerical Functional Analysis and Optimization Pub Date : 2023-04-21 DOI: 10.1080/01630563.2023.2183510
S. K. Dixit
{"title":"A Study of an Iteratively-Regularized Simplified Landweber Iteration for Nonlinear Inverse Problems in Hilbert Spaces","authors":"S. K. Dixit","doi":"10.1080/01630563.2023.2183510","DOIUrl":"https://doi.org/10.1080/01630563.2023.2183510","url":null,"abstract":"Abstract Lanweber-type methods are a well-known regularization methods to solve linear and nonlinear ill-posed problems. In this article, we consider a simplified form of Landweber method, say, an iteratively-regularized simplified Landweber iteration for solving nonlinear ill-posed problems. We study a detailed convergence analysis of the method under standard conditions on the nonlinearity and the rate of convergence under a Hölder-type source condition. Finally, numerical simulations are performed to validate the performance of the method.","PeriodicalId":54707,"journal":{"name":"Numerical Functional Analysis and Optimization","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2023-04-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49305527","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
Nonsymmetric Algebraic Riccati Equations under the Tensor Product 张量乘积下的非对称代数Riccati方程
IF 1.2 4区 数学
Numerical Functional Analysis and Optimization Pub Date : 2023-04-05 DOI: 10.1080/01630563.2023.2192593
Xiong-jie Shao, Yimin Wei, J. Yuan
{"title":"Nonsymmetric Algebraic Riccati Equations under the Tensor Product","authors":"Xiong-jie Shao, Yimin Wei, J. Yuan","doi":"10.1080/01630563.2023.2192593","DOIUrl":"https://doi.org/10.1080/01630563.2023.2192593","url":null,"abstract":"Abstract The nonsymmetric algebraic Riccati equation is proposed by using the tensor product. The existence of its minimal nonnegative solution is studied. The sufficient condition of the existence and the uniqueness of the minimal nonnegative solution is given by -tensor as well. The solution can be obtained by the fast Fourier transform which save computational cost of computing the required solution. Some numerical experiments are performed.","PeriodicalId":54707,"journal":{"name":"Numerical Functional Analysis and Optimization","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2023-04-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44708721","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
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