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Journal of Nonlinear and Variational Analysis最新文献

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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":"160 1","pages":""},"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
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":"137 1","pages":""},"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
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":"48 1","pages":""},"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
Some qualitative properties of solutions of higher-order lower semicontinus differential inclusions 高阶下半连续微分包体解的一些定性性质
IF 2.9 2区 数学
Journal of Nonlinear and Variational Analysis Pub Date : 2022-01-01 DOI: 10.23952/jnva.6.2022.5.10
{"title":"Some qualitative properties of solutions of higher-order lower semicontinus differential inclusions","authors":"","doi":"10.23952/jnva.6.2022.5.10","DOIUrl":"https://doi.org/10.23952/jnva.6.2022.5.10","url":null,"abstract":"","PeriodicalId":48488,"journal":{"name":"Journal of Nonlinear and Variational Analysis","volume":"2 1","pages":""},"PeriodicalIF":2.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73382692","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
On semilinear fractional differential inclusions with a nonconvex-valued right-hand side in Banach spaces Banach空间中右手边为非凸值的半线性分数阶微分包含
IF 2.9 2区 数学
Journal of Nonlinear and Variational Analysis Pub Date : 2022-01-01 DOI: 10.23952/jnva.6.2022.3.02
{"title":"On semilinear fractional differential inclusions with a nonconvex-valued right-hand side in Banach spaces","authors":"","doi":"10.23952/jnva.6.2022.3.02","DOIUrl":"https://doi.org/10.23952/jnva.6.2022.3.02","url":null,"abstract":"","PeriodicalId":48488,"journal":{"name":"Journal of Nonlinear and Variational Analysis","volume":"36 1","pages":""},"PeriodicalIF":2.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85806380","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
Linear fractional optimization problems on Jordan Euclidean algebras 约当欧几里得代数上的线性分数优化问题
IF 2.9 2区 数学
Journal of Nonlinear and Variational Analysis Pub Date : 2022-01-01 DOI: 10.23952/jnva.6.2022.2.05
{"title":"Linear fractional optimization problems on Jordan Euclidean algebras","authors":"","doi":"10.23952/jnva.6.2022.2.05","DOIUrl":"https://doi.org/10.23952/jnva.6.2022.2.05","url":null,"abstract":"","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":"76053576","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 certain class of $theta_{L}$-type non-linear operators and some related fixed point results 一类$theta_{L}$型非线性算子及其不动点结果
IF 2.9 2区 数学
Journal of Nonlinear and Variational Analysis Pub Date : 2022-01-01 DOI: 10.23952/jnva.6.2022.1.05
{"title":"A certain class of $theta_{L}$-type non-linear operators and some related fixed point results","authors":"","doi":"10.23952/jnva.6.2022.1.05","DOIUrl":"https://doi.org/10.23952/jnva.6.2022.1.05","url":null,"abstract":"","PeriodicalId":48488,"journal":{"name":"Journal of Nonlinear and Variational Analysis","volume":"36 1","pages":""},"PeriodicalIF":2.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78053001","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
Simultaneous distributed and Neumann boundary optimal control problems for elliptic hemivariational inequalities 椭圆型半分不等式的同时分布和Neumann边界最优控制问题
IF 2.9 2区 数学
Journal of Nonlinear and Variational Analysis Pub Date : 2022-01-01 DOI: 10.23952/jnva.6.2022.5.07
{"title":"Simultaneous distributed and Neumann boundary optimal control problems for elliptic hemivariational inequalities","authors":"","doi":"10.23952/jnva.6.2022.5.07","DOIUrl":"https://doi.org/10.23952/jnva.6.2022.5.07","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":"77427945","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
Viscoelastic elliptic membrane shells on bilateral frictional contact: An asymptotic approach 粘弹性椭圆膜壳的双边摩擦接触:渐近方法
IF 2.9 2区 数学
Journal of Nonlinear and Variational Analysis Pub Date : 2022-01-01 DOI: 10.23952/jnva.6.2022.5.02
{"title":"Viscoelastic elliptic membrane shells on bilateral frictional contact: An asymptotic approach","authors":"","doi":"10.23952/jnva.6.2022.5.02","DOIUrl":"https://doi.org/10.23952/jnva.6.2022.5.02","url":null,"abstract":"","PeriodicalId":48488,"journal":{"name":"Journal of Nonlinear and Variational Analysis","volume":"57 1","pages":""},"PeriodicalIF":2.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88010273","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 solution existence for prox-regular perturbed sweeping processes 准正则摄动清扫过程解的存在性
IF 2.9 2区 数学
Journal of Nonlinear and Variational Analysis Pub Date : 2021-08-17 DOI: 10.23952/jnva.5.2021.6.01
N. K. Son, N. N. Thieu, N. D. Yen
{"title":"On the solution existence for prox-regular perturbed sweeping processes","authors":"N. K. Son, N. N. Thieu, N. D. Yen","doi":"10.23952/jnva.5.2021.6.01","DOIUrl":"https://doi.org/10.23952/jnva.5.2021.6.01","url":null,"abstract":"In the setting adopted by Edmond and Thibault [Relaxation of an optimal control problem involving a perturbed sweeping process, Math. Program. 104 (2005), 347-373], we study a class of perturbed sweeping processes. Under suitable assumptions, we obtain two solution existence theorems for the perturbed sweeping processes with the constraint sets being prox-regular sublevel sets. The results are applied to the behavior of some concrete mechanical sweeping processes, which appear for the first time in this paper.","PeriodicalId":48488,"journal":{"name":"Journal of Nonlinear and Variational Analysis","volume":"170 1","pages":""},"PeriodicalIF":2.9,"publicationDate":"2021-08-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76643142","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
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