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Numerical Functional Analysis and Optimization最新文献

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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":"44 1","pages":"161 - 178"},"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":"44 1","pages":"202 - 220"},"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":"44 1","pages":"179 - 201"},"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":"44 1","pages":"138 - 159"},"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":"44 1","pages":"64 - 85"},"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
Finite Spectrum of Sturm–Liouville Problems with Transmission Conditions Dependent on the Spectral Parameter 传输条件依赖于谱参数的Sturm-Liouville问题的有限谱
IF 1.2 4区 数学
Numerical Functional Analysis and Optimization Pub Date : 2022-12-06 DOI: 10.1080/01630563.2022.2150641
Na Zhang, Ji-jun Ao
{"title":"Finite Spectrum of Sturm–Liouville Problems with Transmission Conditions Dependent on the Spectral Parameter","authors":"Na Zhang, Ji-jun Ao","doi":"10.1080/01630563.2022.2150641","DOIUrl":"https://doi.org/10.1080/01630563.2022.2150641","url":null,"abstract":"Abstract In this paper, we mainly study the finite spectrum of Sturm–Liouville problems with transmission conditions dependent on the spectral parameter. By analyzing on the characteristic function, we prove that this kind of Sturm–Liouville problems consist of finite number of eigenvalue and these finite eigenvalues can be located anywhere in the complex plane. It is illustrated that the number of eigenvalues not only depends on the partition of the domain interval, but also depends on the transmission conditions dependent on the spectral parameter and the boundary conditions.","PeriodicalId":54707,"journal":{"name":"Numerical Functional Analysis and Optimization","volume":"44 1","pages":"21 - 35"},"PeriodicalIF":1.2,"publicationDate":"2022-12-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44769234","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
Hybrid Operators for Approximating Nonsmooth Functions and Applications on Volterra Integral Equations with Weakly Singular Kernels 近似非光滑函数的混合算子及其在弱奇异核Volterra积分方程上的应用
IF 1.2 4区 数学
Numerical Functional Analysis and Optimization Pub Date : 2022-12-02 DOI: 10.1080/01630563.2022.2150642
S. C. Buranay, M. A. Özarslan, S. S. Falahhesar
{"title":"Hybrid Operators for Approximating Nonsmooth Functions and Applications on Volterra Integral Equations with Weakly Singular Kernels","authors":"S. C. Buranay, M. A. Özarslan, S. S. Falahhesar","doi":"10.1080/01630563.2022.2150642","DOIUrl":"https://doi.org/10.1080/01630563.2022.2150642","url":null,"abstract":"Abstract This research concerns some theoretical and numerical aspects of hybrid positive linear operators for approximating continuous functions on that have unbounded derivatives at the initial point. These operators are defined by using Modified Bernstein–Kantorovich operators where n is positive integer, is a fixed constant and reduces to the classical Bernstein–Kantorivich operators when To show the importance and the applicability of the given hybrid operators we develop an algorithm which implements them for solving the second kind linear Volterra integral equations with weakly singular kernels. Furthermore, applications are also performed on first kind integral equations, by utilizing regularization. Eventually, it is shown that the numerical realization of the given algorithm is easy and computationally efficient and gives accurate approximations to nonsmooth solutions.","PeriodicalId":54707,"journal":{"name":"Numerical Functional Analysis and Optimization","volume":"44 1","pages":"36 - 63"},"PeriodicalIF":1.2,"publicationDate":"2022-12-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43413022","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
Locally Hölder Continuity of the Solution Map to a Boundary Control Problem with Finite Mixed Control-State Constraints 有限混合控制状态约束边界控制问题解映射的局部Hölder连续性
IF 1.2 4区 数学
Numerical Functional Analysis and Optimization Pub Date : 2022-11-25 DOI: 10.1080/01630563.2023.2221739
Hai Son Nguyen, T. Dao
{"title":"Locally Hölder Continuity of the Solution Map to a Boundary Control Problem with Finite Mixed Control-State Constraints","authors":"Hai Son Nguyen, T. Dao","doi":"10.1080/01630563.2023.2221739","DOIUrl":"https://doi.org/10.1080/01630563.2023.2221739","url":null,"abstract":"Abstract The local stability of the solution map to a parametric boundary control problem governed by semilinear elliptic equations with finite mixed pointwise constraints is considered in this paper. We prove that the solution map is locally Hölder continuous in -norm of control variable when the strictly nonnegative second-order optimality conditions are satisfied for the unperturbed problem.","PeriodicalId":54707,"journal":{"name":"Numerical Functional Analysis and Optimization","volume":"44 1","pages":"987 - 1011"},"PeriodicalIF":1.2,"publicationDate":"2022-11-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46031860","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 Topological Framework and Its Application to Well-Posedness in Set-Valued Optimization 一种新的拓扑框架及其在集值优化的适定性中的应用
IF 1.2 4区 数学
Numerical Functional Analysis and Optimization Pub Date : 2022-11-08 DOI: 10.1080/01630563.2022.2141254
M. H. Geoffroy, James Larrouy
{"title":"A New Topological Framework and Its Application to Well-Posedness in Set-Valued Optimization","authors":"M. H. Geoffroy, James Larrouy","doi":"10.1080/01630563.2022.2141254","DOIUrl":"https://doi.org/10.1080/01630563.2022.2141254","url":null,"abstract":"Abstract In this paper, we introduce a topology on the power set of a partially ordered normed space Z from which we derive a topological convergence on along with new concepts of continuity and semicontinuity for set-valued mappings. Our goal is to propose an appropriate framework to address set optimization problems involving set relations based on a cone ordering. Taking advantage of this new setting, we establish several results regarding the well-posedness of set-valued optimization problems that are consistent with the state-of-the-art.","PeriodicalId":54707,"journal":{"name":"Numerical Functional Analysis and Optimization","volume":"43 1","pages":"1848 - 1883"},"PeriodicalIF":1.2,"publicationDate":"2022-11-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42897605","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 for Operators with Certain Condition in p-Uniformly Convex Metric Spaces p-一致凸度量空间中具有一定条件的算子的不动点定理
IF 1.2 4区 数学
Numerical Functional Analysis and Optimization Pub Date : 2022-11-04 DOI: 10.1080/01630563.2022.2141256
Mohammad Knefati, V. Karakaya
{"title":"Fixed Point Theorems for Operators with Certain Condition in p-Uniformly Convex Metric Spaces","authors":"Mohammad Knefati, V. Karakaya","doi":"10.1080/01630563.2022.2141256","DOIUrl":"https://doi.org/10.1080/01630563.2022.2141256","url":null,"abstract":"Abstract In this paper, firstly, we extend the nonlinear Lebesgue spaces from the setting of Hadamard spaces to the setting of p-uniformly convex metric spaces. Afterward, we establish some Δ-convergence and strong convergence theorems for a recently introduced class of generalized nonexpansive mappings in the setting of p-uniformly convex metric spaces. Furthermore, we employ the newly introduced JK-iteration process to approximate the fixed points of this class. Finally, we construct new examples of this class of mappings in the context of p-uniformly convex metric spaces.","PeriodicalId":54707,"journal":{"name":"Numerical Functional Analysis and Optimization","volume":"43 1","pages":"1884 - 1900"},"PeriodicalIF":1.2,"publicationDate":"2022-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49362857","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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