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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
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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":null,"pages":null},"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
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":null,"pages":null},"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
The viscosity approximation method for accretive operators in Banach spaces Banach空间中增生算子的黏度逼近方法
IF 2.9 2区 数学
Journal of Nonlinear and Variational Analysis Pub Date : 2022-01-01 DOI: 10.23952/jnva.6.2022.1.03
Xu Hong-kun, N. Altwaijry, I. Alzughaibi, S. Chebbi
{"title":"The viscosity approximation method for accretive operators in Banach spaces","authors":"Xu Hong-kun, N. Altwaijry, I. Alzughaibi, S. Chebbi","doi":"10.23952/jnva.6.2022.1.03","DOIUrl":"https://doi.org/10.23952/jnva.6.2022.1.03","url":null,"abstract":"We extend the viscosity approximation method (VAM) to accretive operators (via their resolvents) in a uniformly convex and/or uniformly Gâteaux differentiable Banach space X to find a zero of an m-accretive operator and of the sum of two m-accretive operators. In all cases, we prove the strong convergence of our VAM algorithms and the limit of the iterates is identified as the unique sunny nonexpansive retraction onto to the zero set of the operator.","PeriodicalId":48488,"journal":{"name":"Journal of Nonlinear and Variational Analysis","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77168688","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
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
{"title":"A steepest descent-like method for vector optimization problems with variable domination structure","authors":"","doi":"10.23952/jnva.6.2022.6.02","DOIUrl":"https://doi.org/10.23952/jnva.6.2022.6.02","url":null,"abstract":"","PeriodicalId":48488,"journal":{"name":"Journal of Nonlinear and Variational Analysis","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79409288","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
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":null,"pages":null},"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
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":null,"pages":null},"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
A new accelerated positive-indefinite proximal ADMM for constrained separable convex optimization problems 约束可分离凸优化问题的一种新的加速正不定近端ADMM
IF 2.9 2区 数学
Journal of Nonlinear and Variational Analysis Pub Date : 2022-01-01 DOI: 10.23952/jnva.6.2022.6.08
{"title":"A new accelerated positive-indefinite proximal ADMM for constrained separable convex optimization problems","authors":"","doi":"10.23952/jnva.6.2022.6.08","DOIUrl":"https://doi.org/10.23952/jnva.6.2022.6.08","url":null,"abstract":"","PeriodicalId":48488,"journal":{"name":"Journal of Nonlinear and Variational Analysis","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76422325","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
A relaxed CQ algorithm involving the alternated inertial technique for the multiple-sets split feasibility problem 多集分割可行性问题的一种包含交替惯性技术的松弛CQ算法
IF 2.9 2区 数学
Journal of Nonlinear and Variational Analysis Pub Date : 2022-01-01 DOI: 10.23952/jnva.6.2022.4.02
Yaxuan Zhang, Li Yingying
{"title":"A relaxed CQ algorithm involving the alternated inertial technique for the multiple-sets split feasibility problem","authors":"Yaxuan Zhang, Li Yingying","doi":"10.23952/jnva.6.2022.4.02","DOIUrl":"https://doi.org/10.23952/jnva.6.2022.4.02","url":null,"abstract":". In this paper, we present a relaxed CQ algorithm involving the Armijo-line search and the alternated inertial technique to solve the multiple-sets split feasibility problem in infinite dimensional real Hilbert spaces. We prove the convergence of the sequence generated by our method under some mild assumptions. Finally, numerical simulations show the efficiency of our algorithm.","PeriodicalId":48488,"journal":{"name":"Journal of Nonlinear and Variational Analysis","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78041791","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
An inertial non-monotonic self-adaptive iterative algorithm for solving equilibrium problems 求解平衡问题的惯性非单调自适应迭代算法
IF 2.9 2区 数学
Journal of Nonlinear and Variational Analysis Pub Date : 2022-01-01 DOI: 10.23952/jnva.6.2022.1.04
H. Rehman, P. Kumam, Y. Shehu, Murat Ozdemir, W. Kumam
{"title":"An inertial non-monotonic self-adaptive iterative algorithm for solving equilibrium problems","authors":"H. Rehman, P. Kumam, Y. Shehu, Murat Ozdemir, W. Kumam","doi":"10.23952/jnva.6.2022.1.04","DOIUrl":"https://doi.org/10.23952/jnva.6.2022.1.04","url":null,"abstract":"In this paper, we introduce a modification of the extragradient algorithm with a non-monotonic stepsize rule to solve equilibrium problems. This modification is based on the inertial subgradient technique. Under mild conditions, such as, the Lipschitz continuity and the monotonicity of a bifunction (including the pseudomonotonicity), the strong convergence of the proposed algorithm is established in a real Hilbert space. The proposed algorithm uses a non-monotonic stepsize rule based on the local bifunction information rather than its Lipschitz-type constants or other line search methods. We present various numerical examples, which illustrate the strong convergence of the algorithm.","PeriodicalId":48488,"journal":{"name":"Journal of Nonlinear and Variational Analysis","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74499491","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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