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Journal of Nonlinear and Variational Analysis最新文献

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A Special Issue on Recent Trends in Numerical Algorithms and Their Applications 数值算法及其应用的最新趋势特刊
IF 2.9 2区 数学
Journal of Nonlinear and Variational Analysis Pub Date : 2022-01-01 DOI: 10.23952/jnva.6.2022.2.01
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引用次数: 0
A deep neural network-based numerical method for solving contact problems 基于深度神经网络的接触问题数值求解方法
IF 2.9 2区 数学
Journal of Nonlinear and Variational Analysis Pub Date : 2022-01-01 DOI: 10.23952/jnva.6.2022.5.04
{"title":"A deep neural network-based numerical method for solving contact problems","authors":"","doi":"10.23952/jnva.6.2022.5.04","DOIUrl":"https://doi.org/10.23952/jnva.6.2022.5.04","url":null,"abstract":"","PeriodicalId":48488,"journal":{"name":"Journal of Nonlinear and Variational Analysis","volume":"19 1","pages":""},"PeriodicalIF":2.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90234512","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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 the well-posedness of variational-hemivariational inequalities and associated fixed point problems 变分-半变分不等式的适定性及其不动点问题
IF 2.9 2区 数学
Journal of Nonlinear and Variational Analysis Pub Date : 2022-01-01 DOI: 10.23952/jnva.6.2022.5.09
H. Rong, M. Sofonea
{"title":"On the well-posedness of variational-hemivariational inequalities and associated fixed point problems","authors":"H. Rong, M. Sofonea","doi":"10.23952/jnva.6.2022.5.09","DOIUrl":"https://doi.org/10.23952/jnva.6.2022.5.09","url":null,"abstract":". We consider an elliptic variational-hemivariational inequality P in a p -uniformly smooth Banach space. We prove that the inequality is governed by a multivalued maximal monotone operator, and, for each λ > 0, we use the resolvent of this operator to construct an auxiliary fixed point problem, denoted P λ . Next, we perform a parallel study of problems P and P λ based on their intrinsic equivalence. In this way, we prove existence, uniqueness, and well-posedness results with respect to specific Tykhonov triples. The existence of a unique common solution to problems P and P λ is proved by using the Banach contraction principle in the study of Problem P λ . In contrast, the well-posedness of the problems is obtained by using a monotonicity argument in the study of Problem P . Finally, the properties of Problem P λ allow us to deduce a convergence criterion in the study of Problem P .","PeriodicalId":48488,"journal":{"name":"Journal of Nonlinear and Variational Analysis","volume":"23 1","pages":""},"PeriodicalIF":2.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89216519","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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 the linear convergence of a Bregman proximal point algorithm Bregman近点算法的线性收敛性
IF 2.9 2区 数学
Journal of Nonlinear and Variational Analysis Pub Date : 2022-01-01 DOI: 10.23952/jnva.6.2022.2.02
K. Guo, C. Zhu, K. Guo, C. Zhu
{"title":"On the linear convergence of a Bregman proximal point algorithm","authors":"K. Guo, C. Zhu, K. Guo, C. Zhu","doi":"10.23952/jnva.6.2022.2.02","DOIUrl":"https://doi.org/10.23952/jnva.6.2022.2.02","url":null,"abstract":". In this paper, we study a Bregman proximal point algorithm (BPPA) for convex optimization problems. Though the convergence and sublinear convergence rate for BPPA are well-understand, the linear convergence rate for BPPA has yet been thoroughly studied in the literature. In this paper, we analyze the linear convergence rate of BPPA. Under the assumption that the objective function is strongly convex relative to a Legendre function, we establish the linear convergence for the function values sequence. Moreover, if the Legendre function is strongly convex and smooth, the linear convergence for the iterative sequence of BPPA is obtained.","PeriodicalId":48488,"journal":{"name":"Journal of Nonlinear and Variational Analysis","volume":"1 1","pages":""},"PeriodicalIF":2.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83325874","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Coderivatives and Aubin properties of solution mappings for parametric vector variational inequality problems 参数向量变分不等式问题解映射的协导数和Aubin性质
IF 2.9 2区 数学
Journal of Nonlinear and Variational Analysis Pub Date : 2022-01-01 DOI: 10.23952/jnva.6.2022.2.09
{"title":"Coderivatives and Aubin properties of solution mappings for parametric vector variational inequality problems","authors":"","doi":"10.23952/jnva.6.2022.2.09","DOIUrl":"https://doi.org/10.23952/jnva.6.2022.2.09","url":null,"abstract":"","PeriodicalId":48488,"journal":{"name":"Journal of Nonlinear and Variational Analysis","volume":"67 1","pages":""},"PeriodicalIF":2.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75329105","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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 special issue on the theory and numerical methods for vector optimization problems with respect to variable domination structures 关于变量控制结构矢量优化问题的理论和数值方法的专刊
IF 2.9 2区 数学
Journal of Nonlinear and Variational Analysis Pub Date : 2022-01-01 DOI: 10.23952/jnva.6.2022.6.01
{"title":"A special issue on the theory and numerical methods for vector optimization problems with respect to variable domination structures","authors":"","doi":"10.23952/jnva.6.2022.6.01","DOIUrl":"https://doi.org/10.23952/jnva.6.2022.6.01","url":null,"abstract":"","PeriodicalId":48488,"journal":{"name":"Journal of Nonlinear and Variational Analysis","volume":"16 1","pages":""},"PeriodicalIF":2.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73010829","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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 metrizable vector spaces with the Lebesgue property 关于具有勒贝格性质的可度量向量空间
IF 2.9 2区 数学
Journal of Nonlinear and Variational Analysis Pub Date : 2022-01-01 DOI: 10.23952/jnva.6.2022.3.06
{"title":"On metrizable vector spaces with the Lebesgue property","authors":"","doi":"10.23952/jnva.6.2022.3.06","DOIUrl":"https://doi.org/10.23952/jnva.6.2022.3.06","url":null,"abstract":"","PeriodicalId":48488,"journal":{"name":"Journal of Nonlinear and Variational Analysis","volume":"12 1","pages":""},"PeriodicalIF":2.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75637726","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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 note on the Carleson measure for Dirichlet type spaces on the unit ball of $C^n$ C^n的单位球上Dirichlet型空间的Carleson测度
IF 2.9 2区 数学
Journal of Nonlinear and Variational Analysis Pub Date : 2022-01-01 DOI: 10.23952/jnva.6.2022.1.08
Xiangling Zhu
{"title":"A note on the Carleson measure for Dirichlet type spaces on the unit ball of $C^n$","authors":"Xiangling Zhu","doi":"10.23952/jnva.6.2022.1.08","DOIUrl":"https://doi.org/10.23952/jnva.6.2022.1.08","url":null,"abstract":". In this paper, we characterize the q -Carleson measure for Dirichlet type spaces D p α on the unit ball when 0 < p < q < ∞ and α > − 1 by using Carleson blocks and Carleson tubes.","PeriodicalId":48488,"journal":{"name":"Journal of Nonlinear and Variational Analysis","volume":"80 4 1","pages":""},"PeriodicalIF":2.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77404395","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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 nonmonotone gradient method for constrained multiobjective optimization problems 约束多目标优化问题的非单调梯度法
IF 2.9 2区 数学
Journal of Nonlinear and Variational Analysis Pub Date : 2022-01-01 DOI: 10.23952/jnva.6.2022.6.07
{"title":"A nonmonotone gradient method for constrained multiobjective optimization problems","authors":"","doi":"10.23952/jnva.6.2022.6.07","DOIUrl":"https://doi.org/10.23952/jnva.6.2022.6.07","url":null,"abstract":"","PeriodicalId":48488,"journal":{"name":"Journal of Nonlinear and Variational Analysis","volume":"115 1","pages":""},"PeriodicalIF":2.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80304676","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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: 8
Multiple-sets split quasi-convex feasibility problems: Adaptive subgradient methods with convergence guarantee 多集分裂拟凸可行性问题:收敛保证的自适应子梯度方法
IF 2.9 2区 数学
Journal of Nonlinear and Variational Analysis Pub Date : 2022-01-01 DOI: 10.23952/jnva.6.2022.2.03
{"title":"Multiple-sets split quasi-convex feasibility problems: Adaptive subgradient methods with convergence guarantee","authors":"","doi":"10.23952/jnva.6.2022.2.03","DOIUrl":"https://doi.org/10.23952/jnva.6.2022.2.03","url":null,"abstract":"","PeriodicalId":48488,"journal":{"name":"Journal of Nonlinear and Variational Analysis","volume":"118 1","pages":""},"PeriodicalIF":2.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77728574","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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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