Journal of Nonlinear and Variational Analysis最新文献

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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
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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
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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