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Numerical Functional Analysis and Optimization最新文献

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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":null,"pages":null},"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
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":null,"pages":null},"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
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":null,"pages":null},"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
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":null,"pages":null},"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":null,"pages":null},"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
Relatively Monotone and Relatively Generalized Monotone Maps in Nonsmooth Setting and Relative r-Monotonicity 非光滑环境下的相对单调和相对广义单调映射及相对r-单调性
IF 1.2 4区 数学
Numerical Functional Analysis and Optimization Pub Date : 2023-01-20 DOI: 10.1080/01630563.2022.2119248
Youness Alhabib Fajri
{"title":"Relatively Monotone and Relatively Generalized Monotone Maps in Nonsmooth Setting and Relative r-Monotonicity","authors":"Youness Alhabib Fajri","doi":"10.1080/01630563.2022.2119248","DOIUrl":"https://doi.org/10.1080/01630563.2022.2119248","url":null,"abstract":"Abstract The aim of this article is twofold. First, we consider relatively monotone, relatively pseudomonotone, and relatively quasimonotone maps in nonsmooth setting. For continuous maps, we describe -monotonicity when the relative parameters are different and prove that -quasimonotonicity implies -quasimonotonicity as well as -pseudomonotonicity implies -pseudomonotonicity. Then, under local Lipschitzianity assumption, we establish first-order criteria for -monotonicity, -pseudomonotonicity, and -quasimonotonicity. Second, we introduce and study the new notion of relatively r-monotone operators. We provide characterizations and properties. We give in particular criteria of first order for relative r-monotonicity, in smooth and nonsmooth locally Lipschitz settings, when the relative parameters are equal.","PeriodicalId":54707,"journal":{"name":"Numerical Functional Analysis and Optimization","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2023-01-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45110094","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 Solutions to p-Biharmonic Equations of Kirchhoff Type with Vanishing Potential 具有消失势的Kirchhoff型p-双调和方程的多重解
IF 1.2 4区 数学
Numerical Functional Analysis and Optimization Pub Date : 2023-01-12 DOI: 10.1080/01630563.2023.2166530
N. T. Chung, A. Ghanmi, T. Kenzizi
{"title":"Multiple Solutions to p-Biharmonic Equations of Kirchhoff Type with Vanishing Potential","authors":"N. T. Chung, A. Ghanmi, T. Kenzizi","doi":"10.1080/01630563.2023.2166530","DOIUrl":"https://doi.org/10.1080/01630563.2023.2166530","url":null,"abstract":"Abstract In this paper, we study the p-biharmonic equation of Kirchhoff type where is a positive parameter, is the p-Laplacian operator and is the p-biharmonic operator, V, K, g are nonnegative functions, V is vanishing at infinity in the sense that When the nonlinear term satisfies some suitable conditions, we prove that the above problem has at least two nontrivial solutions using the mountain pass theorem combined with the Ekeland variational principle.","PeriodicalId":54707,"journal":{"name":"Numerical Functional Analysis and Optimization","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2023-01-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42803248","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
Degenerated and Competing Horizontal (p, q)-Laplacians with Weights on the Heisenberg Group Heisenberg群上具有权的退化竞争水平（p，q）-Laplaces算子
IF 1.2 4区 数学
Numerical Functional Analysis and Optimization Pub Date : 2023-01-06 DOI: 10.1080/01630563.2022.2163503
A. Razani, G. Figueiredo
{"title":"Degenerated and Competing Horizontal (p, q)-Laplacians with Weights on the Heisenberg Group","authors":"A. Razani, G. Figueiredo","doi":"10.1080/01630563.2022.2163503","DOIUrl":"https://doi.org/10.1080/01630563.2022.2163503","url":null,"abstract":"Abstract In this article, the degenerated horizontal (p, q)-Laplacian with weights and the competing horizontal (p, q)-Laplacian with weights including the Dirchlet boundary condition are studied. The existence and approximation results for these problems are studied where is a Carathéodory function, Ω is a bounded smooth domain in the Heisenberg group and stands for the horizontal p-Laplacian on The proofs are based on weighted Heisenberg Sobolev spaces, Nemytskij operators, Browder-Minty Theorem, and finite dimensional approximation.","PeriodicalId":54707,"journal":{"name":"Numerical Functional Analysis and Optimization","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2023-01-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42690383","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: 3
Algorithmic Aspect and Iterative Approximation of a Solution for a System of Generalized Multi-Valued Variational-Like Inclusions in Banach Spaces Banach空间中广义多值类变分包含系统解的算法方面和迭代逼近
IF 1.2 4区 数学
Numerical Functional Analysis and Optimization Pub Date : 2023-01-02 DOI: 10.1080/01630563.2022.2163502
J. Balooee, Shih-sen Chang, Min Liu, Jinhua Zhu
{"title":"Algorithmic Aspect and Iterative Approximation of a Solution for a System of Generalized Multi-Valued Variational-Like Inclusions in Banach Spaces","authors":"J. Balooee, Shih-sen Chang, Min Liu, Jinhua Zhu","doi":"10.1080/01630563.2022.2163502","DOIUrl":"https://doi.org/10.1080/01630563.2022.2163502","url":null,"abstract":"Abstract The main purpose of this paper is to construct a new iterative algorithm using the notion of P-η-resolvent operator for solving a new system of generalized multi-valued variational-like inclusions in the setting of Banach spaces. As an application of the constructed algorithm, the strong convergence of the sequences generated by our proposed iterative algorithm to a solution of the system of generalized multi-valued variational-like inclusions is proved.","PeriodicalId":54707,"journal":{"name":"Numerical Functional Analysis and Optimization","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2023-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45980569","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 Approximation in Modular Spaces by Using Finite Element Method Approach 模空间的有限元变分逼近
IF 1.2 4区 数学
Numerical Functional Analysis and Optimization Pub Date : 2022-12-13 DOI: 10.1080/01630563.2022.2153367
M. Mabdaoui, H. Moussa, M. Rhoudaf
{"title":"Variational Approximation in Modular Spaces by Using Finite Element Method Approach","authors":"M. Mabdaoui, H. Moussa, M. Rhoudaf","doi":"10.1080/01630563.2022.2153367","DOIUrl":"https://doi.org/10.1080/01630563.2022.2153367","url":null,"abstract":"Abstract In this paper, we shall study the polynomial approximation in a more general setting namely to consider the Orlicz-Sobolev spaces We study the local and global interpolation estimate and we will show the finite element error estimate for a nonlinear elliptic problem where we establish a generalization of Cea’s Theorem and we prove the modular convergence of the gradient, then we present the existence result and its proof.","PeriodicalId":54707,"journal":{"name":"Numerical Functional Analysis and Optimization","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2022-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43276145","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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