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Numerical Functional Analysis and Optimization最新文献

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Q-duals and Q-approximate duals of g-frames in Hilbert spaces Hilbert空间中g坐标系的q -对偶和q -近似对偶
IF 1.2 4区 数学
Numerical Functional Analysis and Optimization Pub Date : 2023-02-27 DOI: 10.1080/01630563.2023.2184383
Xiangchun Xiao, G. Zhao, Guorong Zhou
{"title":"Q-duals and Q-approximate duals of g-frames in Hilbert spaces","authors":"Xiangchun Xiao, G. Zhao, Guorong Zhou","doi":"10.1080/01630563.2023.2184383","DOIUrl":"https://doi.org/10.1080/01630563.2023.2184383","url":null,"abstract":"Abstract In this paper we mainly discuss the properties of Q-duals and Q-approximate duals of g-frames in Hilbert spaces. Given and being a pair of Q-dual, being some kind of perturbed sequence of in general is not a Q-approximate dual of We then give four different kinds of perturbed conditions such that and a perturbed sequence of are possible to be a pair of Q-approximate dual. We also provide several different methods to construct Q-duals and Q-approximate duals of g-frames. Finally, we give two equivalent characterizations of Q-duals and Q-approximate duals by using the associated induced sequences.","PeriodicalId":54707,"journal":{"name":"Numerical Functional Analysis and Optimization","volume":"44 1","pages":"510 - 528"},"PeriodicalIF":1.2,"publicationDate":"2023-02-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44453479","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 Variational and Regularization Framework for Stable Strong Solutions of Nonlinear Boundary Value Problems 一类非线性边值问题稳定强解的变分正则化框架
IF 1.2 4区 数学
Numerical Functional Analysis and Optimization Pub Date : 2023-02-23 DOI: 10.1080/01630563.2023.2178010
J. Jerome
{"title":"A Variational and Regularization Framework for Stable Strong Solutions of Nonlinear Boundary Value Problems","authors":"J. Jerome","doi":"10.1080/01630563.2023.2178010","DOIUrl":"https://doi.org/10.1080/01630563.2023.2178010","url":null,"abstract":"Abstract We study a variational approach introduced by S.D. Fisher and the author in the 1970s in the context of norm minimization for differentiable mappings occurring in nonlinear elliptic boundary value problems. It may be viewed as an abstract version of the calculus of variations. A strong hypothesis, initially limiting the scope of this approach, is the assumption of a bounded minimizing sequence in the least squares formulation. In this article, we employ regularization and invariant regions to overcome this obstacle. A consequence of the framework is the convergence of approximations for regularized problems to a desired solution. The variational method is closely associated with the implicit function theorem, and it can be jointly studied, so that continuous parameter stability is naturally deduced. A significant aspect of the theory is that the reaction term in a reaction-diffusion equation can be selected to act globally as in the steady Schrödinger-Hartree equation. Local action, as in the non-equilibrium Poisson-Boltzmann equation, is also included. Both cases are studied at length prior to the development of a general theory.","PeriodicalId":54707,"journal":{"name":"Numerical Functional Analysis and Optimization","volume":"44 1","pages":"394 - 419"},"PeriodicalIF":1.2,"publicationDate":"2023-02-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42139912","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
Optimal Control Results for Sobolev-Type Fractional Stochastic Volterra-Fredholm Integrodifferential Systems of Order ϑ ∈ (1, 2) via Sectorial Operators Sobolev型分数阶随机Volterra—Fredholm积分微分系统的最优控制结果 ∈ （1， 2） 通过行业运营商
IF 1.2 4区 数学
Numerical Functional Analysis and Optimization Pub Date : 2023-02-22 DOI: 10.1080/01630563.2023.2180645
M. Johnson, V. Vijayakumar
{"title":"Optimal Control Results for Sobolev-Type Fractional Stochastic Volterra-Fredholm Integrodifferential Systems of Order ϑ ∈ (1, 2) via Sectorial Operators","authors":"M. Johnson, V. Vijayakumar","doi":"10.1080/01630563.2023.2180645","DOIUrl":"https://doi.org/10.1080/01630563.2023.2180645","url":null,"abstract":"Abstract The objective of this paper is to investigate the optimal control results for Sobolev-type fractional stochastic Volterra-Fredholm integrodifferential systems of order with sectorial operators in Hilbert spaces. Initially, we prove the existence of mild solutions by using fractional calculus, stochastic analysis theory, and the Schauder’s fixed point theorem. Next, we demonstrate the existence of optimal control pairs for the given system. Finally, an example is included to show the applications of the developed theory.","PeriodicalId":54707,"journal":{"name":"Numerical Functional Analysis and Optimization","volume":"44 1","pages":"439 - 460"},"PeriodicalIF":1.2,"publicationDate":"2023-02-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49104198","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: 5
Regional Boundary Observability for Semilinear Fractional Systems with Riemann-Liouville Derivative 具有Riemann-Liouville导数的半线性分数阶系统的区域边界可观测性
IF 1.2 4区 数学
Numerical Functional Analysis and Optimization Pub Date : 2023-02-15 DOI: 10.1080/01630563.2023.2171055
Khalid Zguaid, F. E. El Alaoui
{"title":"Regional Boundary Observability for Semilinear Fractional Systems with Riemann-Liouville Derivative","authors":"Khalid Zguaid, F. E. El Alaoui","doi":"10.1080/01630563.2023.2171055","DOIUrl":"https://doi.org/10.1080/01630563.2023.2171055","url":null,"abstract":"Abstract In this manuscript, we consider the problem of regional boundary observability for semilinear time-fractional systems involving the Riemann-Liouville fractional derivative. Our primary goal is to focus on reconstructing the initial state in the desired subregion located on the boundary of the spatial domain. To do that, we firstly construct a link between regional boundary observability of the considered semilinear system and regional observability of its linear part. And with the help of an extension of the Hilbert uniqueness method (HUM), we recover the value of the initial state on the desired boundary subregion. We also provide a numerical simulation based on the steps of the HUM approach that shows the proposed algorithm’s efficiency and backs up our theoretical results.","PeriodicalId":54707,"journal":{"name":"Numerical Functional Analysis and Optimization","volume":"44 1","pages":"420 - 437"},"PeriodicalIF":1.2,"publicationDate":"2023-02-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42685302","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: 2
On Some Inequalities of Differentiable Uniformly Convex Mapping with Applications 关于可微一致凸映射的一些不等式及其应用
IF 1.2 4区 数学
Numerical Functional Analysis and Optimization Pub Date : 2023-02-06 DOI: 10.1080/01630563.2023.2174989
H. Barsam, Y. Sayyari
{"title":"On Some Inequalities of Differentiable Uniformly Convex Mapping with Applications","authors":"H. Barsam, Y. Sayyari","doi":"10.1080/01630563.2023.2174989","DOIUrl":"https://doi.org/10.1080/01630563.2023.2174989","url":null,"abstract":"Abstract The widely known hermite-hadamard-Fejer type inequalities are so important in the field of mathematical analysis. Many researchers have studied on these inequalities. In this paper, we have obtained several inequalities related to the Hermite-Hadamard inequality for a special class of the functions called uniformly convex functions. We have also presented applications of these obtained inequalities in some error estimates for higher moments of random variables.","PeriodicalId":54707,"journal":{"name":"Numerical Functional Analysis and Optimization","volume":"44 1","pages":"368 - 381"},"PeriodicalIF":1.2,"publicationDate":"2023-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46695400","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: 2
Further Hilbert-Schmidt Numerical Radius Inequalities for 2 × 2 Operator Matrices 2 × 2算子矩阵的进一步Hilbert-Schmidt数值半径不等式
4区 数学
Numerical Functional Analysis and Optimization Pub Date : 2023-02-06 DOI: 10.1080/01630563.2023.2174990
Soumia Aici, Abdelkader Frakis, Fuad Kittaneh
{"title":"Further Hilbert-Schmidt Numerical Radius Inequalities for 2 × 2 Operator Matrices","authors":"Soumia Aici, Abdelkader Frakis, Fuad Kittaneh","doi":"10.1080/01630563.2023.2174990","DOIUrl":"https://doi.org/10.1080/01630563.2023.2174990","url":null,"abstract":"We give several bounds for the Hilbert-Schmidt numerical radii of 2 × 2 operator matrices. Some of these bounds are refinements of the existing ones.","PeriodicalId":54707,"journal":{"name":"Numerical Functional Analysis and Optimization","volume":"37 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135006673","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
Fixed Point Theorems in Generalized Banach Algebras and an Application to Infinite Systems in 𝒞([0, 1], c 0) × 𝒞([0, 1], c 0) 广义Banach代数中的不动点定理及其在广义Banach代数中([0,1]，c0) ×广义Banach代数中([0,1]，c0)无限系统中的应用
IF 1.2 4区 数学
Numerical Functional Analysis and Optimization Pub Date : 2023-02-01 DOI: 10.1080/01630563.2023.2172033
Bilel Krichen, B. Mefteh, Rahma Taktak
{"title":"Fixed Point Theorems in Generalized Banach Algebras and an Application to Infinite Systems in 𝒞([0, 1], c 0) × 𝒞([0, 1], c 0)","authors":"Bilel Krichen, B. Mefteh, Rahma Taktak","doi":"10.1080/01630563.2023.2172033","DOIUrl":"https://doi.org/10.1080/01630563.2023.2172033","url":null,"abstract":"Abstract The purpose of this paper is to extend Boyd and Wong’s fixed point theorem in complete generalized metric spaces and to apply this result under the so-called G-weak topology in generalized Banach algebras. Some tools will be introduced and involved in our work as the generalized measures of weak non-compactness and the sequential condition Our results will extend many known theorems in the literature. Also, we will give an application for an infinite system of nonlinear integral equations defined on the generalized Banach algebra where c 0 is the space of all real sequences converging to zero.","PeriodicalId":54707,"journal":{"name":"Numerical Functional Analysis and Optimization","volume":"44 1","pages":"333 - 367"},"PeriodicalIF":1.2,"publicationDate":"2023-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44124331","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
Finite Spectrum of 2nth Order Boundary Value Problems with Transmission Conditions 具有传输条件的二阶边值问题的有限谱
IF 1.2 4区 数学
Numerical Functional Analysis and Optimization Pub Date : 2023-02-01 DOI: 10.1080/01630563.2023.2171053
Jia Li, Xiaoling Hao, Kun Li, Siqin Yao
{"title":"Finite Spectrum of 2nth Order Boundary Value Problems with Transmission Conditions","authors":"Jia Li, Xiaoling Hao, Kun Li, Siqin Yao","doi":"10.1080/01630563.2023.2171053","DOIUrl":"https://doi.org/10.1080/01630563.2023.2171053","url":null,"abstract":"Abstract For any positive integer 2n and any positive integer m, l, a class of regular self-adjoint and non-self-adjoint boundary value problems whose spectrum consists of at most eigenvalues is constructed. The key to this analysis is the division of intervals and an iterative construction of the characteristic function. In the self-adjoint case with separated boundary conditions this upper bound can be improved to","PeriodicalId":54707,"journal":{"name":"Numerical Functional Analysis and Optimization","volume":"44 1","pages":"296 - 310"},"PeriodicalIF":1.2,"publicationDate":"2023-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48706900","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
Uniqueness of STFT Phase Retrieval for Bandlimited Vector Functions 带限矢量函数STFT相位检索的唯一性
IF 1.2 4区 数学
Numerical Functional Analysis and Optimization Pub Date : 2023-01-28 DOI: 10.1080/01630563.2023.2171054
Qingyue Zhang, Zhen Guo, Bei Liu, Rui Li
{"title":"Uniqueness of STFT Phase Retrieval for Bandlimited Vector Functions","authors":"Qingyue Zhang, Zhen Guo, Bei Liu, Rui Li","doi":"10.1080/01630563.2023.2171054","DOIUrl":"https://doi.org/10.1080/01630563.2023.2171054","url":null,"abstract":"Abstract In the article, we consider the problem of phase retrieval from magnitudes of STFT (short-time Fourier transform) measurements. The uniqueness of STFT phase retrieval had been established when the signal is one-dimensional function. In this article, we investigate the uniqueness of STFT phase retrieval when the signal is a two-dimensional vector function. And we prove the uniqueness theorem of STFT phase retrieval for bandlimited real-valued and complex-valued vector functions, respectively.","PeriodicalId":54707,"journal":{"name":"Numerical Functional Analysis and Optimization","volume":"44 1","pages":"311 - 331"},"PeriodicalIF":1.2,"publicationDate":"2023-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43414778","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
Fixed Point Theorem and Related Nonlinear Analysis by the Best Approximation Method in p-Vector Spaces p-向量空间中不动点定理及相关非线性分析的最佳逼近方法
IF 1.2 4区 数学
Numerical Functional Analysis and Optimization Pub Date : 2023-01-24 DOI: 10.1080/01630563.2023.2167088
G. Yuan
{"title":"Fixed Point Theorem and Related Nonlinear Analysis by the Best Approximation Method in p-Vector Spaces","authors":"G. Yuan","doi":"10.1080/01630563.2023.2167088","DOIUrl":"https://doi.org/10.1080/01630563.2023.2167088","url":null,"abstract":"Abstract The goal of this paper is to develop some new and useful tools for nonlinear analysis by applying the best approximation approach for classes of semiclosed 1-set contractive set-valued mappings in locally p-convex or p-vector spaces for In particular, we first develop general fixed point theorems for both set-valued and single-valued condensing mappings which provide answers to the Schauder conjecture in the affirmative way under the setting of (locally p-convex) p-vector spaces, then the best approximation results for upper semi-continuous and 1-set contractive set-valued are established, which are used as tools to establish some new fixed points for non-self set-valued mappings with either inward or outward set conditions under various situations. These results unify or improve corresponding results in the existing literature for nonlinear analysis.","PeriodicalId":54707,"journal":{"name":"Numerical Functional Analysis and Optimization","volume":"44 1","pages":"221 - 295"},"PeriodicalIF":1.2,"publicationDate":"2023-01-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48522423","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: 2
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