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A steepest descent-like method for vector optimization problems with variable domination structure 一类变控制结构矢量优化问题的最陡下降方法
IF 2.9 2区 数学
Journal of Nonlinear and Variational Analysis Pub Date : 2022-01-01 DOI: 10.23952/jnva.6.2022.6.02
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引用次数: 1
Convergence of the solution sets for set optimization problems 集合优化问题解集的收敛性
IF 2.9 2区 数学
Journal of Nonlinear and Variational Analysis Pub Date : 2022-01-01 DOI: 10.23952/jnva.6.2022.3.01
{"title":"Convergence of the solution sets for set optimization problems","authors":"","doi":"10.23952/jnva.6.2022.3.01","DOIUrl":"https://doi.org/10.23952/jnva.6.2022.3.01","url":null,"abstract":"","PeriodicalId":48488,"journal":{"name":"Journal of Nonlinear and Variational Analysis","volume":"6 1","pages":""},"PeriodicalIF":2.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74424987","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: 2
Approximate elements for set optimization problems with respect to variable domination structures 关于变量控制结构的集合优化问题的近似元
IF 2.9 2区 数学
Journal of Nonlinear and Variational Analysis Pub Date : 2022-01-01 DOI: 10.23952/jnva.6.2022.2.07
{"title":"Approximate elements for set optimization problems with respect to variable domination structures","authors":"","doi":"10.23952/jnva.6.2022.2.07","DOIUrl":"https://doi.org/10.23952/jnva.6.2022.2.07","url":null,"abstract":"","PeriodicalId":48488,"journal":{"name":"Journal of Nonlinear and Variational Analysis","volume":"51 1","pages":""},"PeriodicalIF":2.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90658832","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
Existence of solutions to a new class of coupled variational-hemivariational inequalities 一类新的变分-半变分耦合不等式解的存在性
IF 2.9 2区 数学
Journal of Nonlinear and Variational Analysis Pub Date : 2022-01-01 DOI: 10.23952/jnva.6.2022.5.05
{"title":"Existence of solutions to a new class of coupled variational-hemivariational inequalities","authors":"","doi":"10.23952/jnva.6.2022.5.05","DOIUrl":"https://doi.org/10.23952/jnva.6.2022.5.05","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":"84848709","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
Constraint qualifications in nonsmooth optimization: Classification and inter-relations 非光滑优化中的约束条件:分类及其相互关系
IF 2.9 2区 数学
Journal of Nonlinear and Variational Analysis Pub Date : 2022-01-01 DOI: 10.23952/jnva.6.2022.2.06
{"title":"Constraint qualifications in nonsmooth optimization: Classification and inter-relations","authors":"","doi":"10.23952/jnva.6.2022.2.06","DOIUrl":"https://doi.org/10.23952/jnva.6.2022.2.06","url":null,"abstract":"","PeriodicalId":48488,"journal":{"name":"Journal of Nonlinear and Variational Analysis","volume":"27 1","pages":""},"PeriodicalIF":2.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80324011","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 trust-region interior-point technique to solve multi-objective optimization problems and its application to a tuberculosis optimal control problem 求解多目标优化问题的信赖域内点技术及其在结核最优控制问题中的应用
IF 2.9 2区 数学
Journal of Nonlinear and Variational Analysis Pub Date : 2022-01-01 DOI: 10.23952/jnva.6.2022.6.06
{"title":"A trust-region interior-point technique to solve multi-objective optimization problems and its application to a tuberculosis optimal control problem","authors":"","doi":"10.23952/jnva.6.2022.6.06","DOIUrl":"https://doi.org/10.23952/jnva.6.2022.6.06","url":null,"abstract":"","PeriodicalId":48488,"journal":{"name":"Journal of Nonlinear and Variational Analysis","volume":"11 1","pages":""},"PeriodicalIF":2.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89801124","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
Local convergence of the Newton’s method in two step nilpotent Lie groups 两步幂零李群中牛顿法的局部收敛性
IF 2.9 2区 数学
Journal of Nonlinear and Variational Analysis Pub Date : 2022-01-01 DOI: 10.23952/jnva.6.2022.3.03
{"title":"Local convergence of the Newton’s method in two step nilpotent Lie groups","authors":"","doi":"10.23952/jnva.6.2022.3.03","DOIUrl":"https://doi.org/10.23952/jnva.6.2022.3.03","url":null,"abstract":"","PeriodicalId":48488,"journal":{"name":"Journal of Nonlinear and Variational Analysis","volume":"43 1","pages":""},"PeriodicalIF":2.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86076293","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 generalized global fractional-order composite dynamical systems with set-valued perturbations 具有集值扰动的广义全局分数阶复合动力系统
IF 2.9 2区 数学
Journal of Nonlinear and Variational Analysis Pub Date : 2022-01-01 DOI: 10.23952/jnva.6.2022.1.09
L. Ceng, N. Huang, C. Wen
{"title":"On generalized global fractional-order composite dynamical systems with set-valued perturbations","authors":"L. Ceng, N. Huang, C. Wen","doi":"10.23952/jnva.6.2022.1.09","DOIUrl":"https://doi.org/10.23952/jnva.6.2022.1.09","url":null,"abstract":"In this paper, we investigate a class of generalized global fractional-order composite dynamical systems involving set-valued perturbations in real separable Hilbert spaces. First, we prove that the solution set of the systems is nonempty and closed under some suitable conditions. Second, we show that the solution set is continuous with respect to the initial value in the sense of the Hausdorff metric. Last, an example is provided to illustrate the applicability of the main results.","PeriodicalId":48488,"journal":{"name":"Journal of Nonlinear and Variational Analysis","volume":"100 1","pages":""},"PeriodicalIF":2.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80337697","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: 4
Accelerated inertial subgradient extragradient algorithms with non-monotonic step sizes for equilibrium problems and fixed point problems 平衡问题和不动点问题的非单调步长加速惯性次梯度外聚算法
IF 2.9 2区 数学
Journal of Nonlinear and Variational Analysis Pub Date : 2022-01-01 DOI: 10.23952/jnva.6.2022.1.06
Bing Tan, S. Cho, J. Yao
{"title":"Accelerated inertial subgradient extragradient algorithms with non-monotonic step sizes for equilibrium problems and fixed point problems","authors":"Bing Tan, S. Cho, J. Yao","doi":"10.23952/jnva.6.2022.1.06","DOIUrl":"https://doi.org/10.23952/jnva.6.2022.1.06","url":null,"abstract":". This paper introduces several new accelerated subgradient extragradient methods with inertial effects for approximating a solution of a pseudomonotone equilibrium problem and a fixed point problem involving a quasi-nonexpansive mapping or a demicontractive mapping in real Hilbert spaces. The proposed algorithms use an adaptive non-monotonic step size criterion that does not include any Armijo line search process. Strong convergence theorems of the suggested iterative algorithms are established without the prior knowledge of the Lipschitz constants of the bifunction. Moreover, R -linear convergence is guaranteed under the assumption that the bifunction satisfies strong pseudomonotonicity. Applications to variational inequality problems are also considered. Finally, some numerical examples and applications, which demonstrate the advantages and efficiency of the proposed algorithms, are given.","PeriodicalId":48488,"journal":{"name":"Journal of Nonlinear and Variational Analysis","volume":"43 1","pages":""},"PeriodicalIF":2.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86631382","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: 10
Numerical analysis of a general elliptic variational-hemivariational inequality 一类一般椭圆变分-半变分不等式的数值分析
IF 2.9 2区 数学
Journal of Nonlinear and Variational Analysis Pub Date : 2022-01-01 DOI: 10.23952/jnva.6.2022.5.06
W. Han, M. Sofonea
{"title":"Numerical analysis of a general elliptic variational-hemivariational inequality","authors":"W. Han, M. Sofonea","doi":"10.23952/jnva.6.2022.5.06","DOIUrl":"https://doi.org/10.23952/jnva.6.2022.5.06","url":null,"abstract":". This paper is devoted to the numerical analysis of a general elliptic variational-hemivariational inequality. After a review of a solution existence and uniqueness result, we introduce a family of Galerkin methods to solve the problem. We prove the convergence of the numerical method under the minimal solution regularity condition available from the existence result and derive a C´ea’s inequality for error estimation of the numerical solutions. Then, we apply the results for the numerical analysis of a variational-hemivariational inequality in the study of a static problem which models the contact of an elastic body with a reactive foundation. In particular, under appropriate solution regularity conditions, we derive an optimal order error estimate for the linear finite element solution","PeriodicalId":48488,"journal":{"name":"Journal of Nonlinear and Variational Analysis","volume":"7 1","pages":""},"PeriodicalIF":2.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86506560","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: 3
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