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Applied Set-Valued Analysis and Optimization最新文献

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A shrinking projection algorithm for variational inequality problems with a Lipschitz monotone mapping and fixed point problems of relatively weak nonexpansive mappings Lipschitz单调映射变分不等式问题和相对弱非扩张映射不动点问题的收缩投影算法
Applied Set-Valued Analysis and Optimization Pub Date : 1900-01-01 DOI: 10.23952/asvao.3.2021.1.05
{"title":"A shrinking projection algorithm for variational inequality problems with a Lipschitz monotone mapping and fixed point problems of relatively weak nonexpansive mappings","authors":"","doi":"10.23952/asvao.3.2021.1.05","DOIUrl":"https://doi.org/10.23952/asvao.3.2021.1.05","url":null,"abstract":"","PeriodicalId":362333,"journal":{"name":"Applied Set-Valued Analysis and Optimization","volume":"4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129948539","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Bounded perturbation resilience of generalized viscosity iterative algorithms for split variational inclusion problems 分裂变分包含问题广义黏度迭代算法的有界扰动弹性
Applied Set-Valued Analysis and Optimization Pub Date : 1900-01-01 DOI: 10.23952/asvao.2.2020.1.04
Peichao Duan, Xubang Zheng
{"title":"Bounded perturbation resilience of generalized viscosity iterative algorithms for split variational inclusion problems","authors":"Peichao Duan, Xubang Zheng","doi":"10.23952/asvao.2.2020.1.04","DOIUrl":"https://doi.org/10.23952/asvao.2.2020.1.04","url":null,"abstract":"In this paper, we propose a generalized viscosity approximation method combing a sequence of contractive mappings to solve a split variational inclusion problem. The bounded perturbation resilience of the method is investigated in Hilbert spaces. Under mild conditions, we prove that our algorithms strongly converge to a solution of the split variational inclusion problem, which is also the unique solution of some variational inequality problem. Furthermore, we show the convergence and effectiveness of the algorithms via two numerical examples. Our results extend and improve the related results in the literature.","PeriodicalId":362333,"journal":{"name":"Applied Set-Valued Analysis and Optimization","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130016044","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Generalized regularized gap functions and error bounds for generalized vector variational-like inequalities 广义向量类变分不等式的广义正则间隙函数和误差界
Applied Set-Valued Analysis and Optimization Pub Date : 1900-01-01 DOI: 10.23952/asvao.4.2022.1.06
{"title":"Generalized regularized gap functions and error bounds for generalized vector variational-like inequalities","authors":"","doi":"10.23952/asvao.4.2022.1.06","DOIUrl":"https://doi.org/10.23952/asvao.4.2022.1.06","url":null,"abstract":"","PeriodicalId":362333,"journal":{"name":"Applied Set-Valued Analysis and Optimization","volume":"15 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124784478","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A general iterative algorithm for generalized split feasibility and fixed point problems 广义分裂可行性与不动点问题的一种通用迭代算法
Applied Set-Valued Analysis and Optimization Pub Date : 1900-01-01 DOI: 10.23952/asvao.2.2020.2.05
J. Jung
{"title":"A general iterative algorithm for generalized split feasibility and fixed point problems","authors":"J. Jung","doi":"10.23952/asvao.2.2020.2.05","DOIUrl":"https://doi.org/10.23952/asvao.2.2020.2.05","url":null,"abstract":"In this paper, we introduce a general iterative algorithm based on the hybrid steepest descent method for finding a common element of the solution set of generalized split feasibility problem and the fixed point set of a continuous pseudocontractive mapping. We establish the strong convergence of the proposed iterative algorithm and find a minimum-norm element in the common set of the two sets in a Hilbert space.","PeriodicalId":362333,"journal":{"name":"Applied Set-Valued Analysis and Optimization","volume":"21 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134212466","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","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 analysis of Jarratt-type schemes for solving equations 求解方程jarrat型格式的局部收敛性分析
Applied Set-Valued Analysis and Optimization Pub Date : 1900-01-01 DOI: 10.23952/asvao.1.2019.1.05
I. Argyros, S. George
{"title":"Local convergence analysis of Jarratt-type schemes for solving equations","authors":"I. Argyros, S. George","doi":"10.23952/asvao.1.2019.1.05","DOIUrl":"https://doi.org/10.23952/asvao.1.2019.1.05","url":null,"abstract":". The aim of this paper is to present a local convergence analysis for Jarratt-type schemes to solve equations with Banach space valued operators. The convergence conditions are are weaker than the corresponding ones in earlier results and some numerical examples are provided.","PeriodicalId":362333,"journal":{"name":"Applied Set-Valued Analysis and Optimization","volume":"50 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123628205","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Inverse problems for vector variational and vector quasi-variational inequalities 向量变分和向量拟变分不等式的反问题
Applied Set-Valued Analysis and Optimization Pub Date : 1900-01-01 DOI: 10.23952/asvao.1.2019.3.05
N. Hebestreit, Akhtar A. Khan, C. Tammer
{"title":"Inverse problems for vector variational and vector quasi-variational inequalities","authors":"N. Hebestreit, Akhtar A. Khan, C. Tammer","doi":"10.23952/asvao.1.2019.3.05","DOIUrl":"https://doi.org/10.23952/asvao.1.2019.3.05","url":null,"abstract":". In this paper, we focus on an inverse problem of parameter identification in vector variational and vector quasi-variational inequalities. Especially, we develop an abstract regularization approach that permits a stable identification of the parameters in the considered variational problems. We give existence results for the regularized output least-square-based optimization problem and provide an application of our results to the Markowitz portfolio problem.","PeriodicalId":362333,"journal":{"name":"Applied Set-Valued Analysis and Optimization","volume":"248 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121296375","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
A porosity result regarding fixed points for a class of nonexpansive mappings 关于一类非膨胀映射不动点的孔隙度结果
Applied Set-Valued Analysis and Optimization Pub Date : 1900-01-01 DOI: 10.23952/asvao.4.2022.3.10
A. Zaslavski
{"title":"A porosity result regarding fixed points for a class of nonexpansive mappings","authors":"A. Zaslavski","doi":"10.23952/asvao.4.2022.3.10","DOIUrl":"https://doi.org/10.23952/asvao.4.2022.3.10","url":null,"abstract":". In one of our recent papers, we considered a complete metric space of nonexpansive mappings taking a bounded and closed subset of a complete hyperbolic space into the space so that the boundary of this subset is mapped back into the subset itself. Using the Baire category approach, we proved that most of these mappings possess a unique fixed point which attracts all their iterates. In the present paper, we improve upon this result by showing that the complement of the set of mappings which have a fixed point is not only of the first Baire category, but also is σ -porous.","PeriodicalId":362333,"journal":{"name":"Applied Set-Valued Analysis and Optimization","volume":"34 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126295620","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
An improvement LQP method for nonlinear complementarity problems 非线性互补问题的改进LQP方法
Applied Set-Valued Analysis and Optimization Pub Date : 1900-01-01 DOI: 10.23952/asvao.2.2020.1.06
X. Qin
{"title":"An improvement LQP method for nonlinear complementarity problems","authors":"X. Qin","doi":"10.23952/asvao.2.2020.1.06","DOIUrl":"https://doi.org/10.23952/asvao.2.2020.1.06","url":null,"abstract":". In this paper, we propose a new modified logarithmic-quadratic proximal method for solving the nonlinear complementarity problem. An easily measurable error term is proposed with further relaxed error bound and a new step length is employed to reach substantial progress in each iteration. Preliminary numerical experiments are included to illustrate the advantage and efficiency of the proposed method.","PeriodicalId":362333,"journal":{"name":"Applied Set-Valued Analysis and Optimization","volume":"150 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132465114","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Editorial: A special issue dedicated to Hong-Kun Xu on the occasion of his 60th birthday, Part I 编者:许鸿坤60大寿特刊(上)
Applied Set-Valued Analysis and Optimization Pub Date : 1900-01-01 DOI: 10.23952/asvao.2.2020.2.01
{"title":"Editorial: A special issue dedicated to Hong-Kun Xu on the occasion of his 60th birthday, Part I","authors":"","doi":"10.23952/asvao.2.2020.2.01","DOIUrl":"https://doi.org/10.23952/asvao.2.2020.2.01","url":null,"abstract":"","PeriodicalId":362333,"journal":{"name":"Applied Set-Valued Analysis and Optimization","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133905866","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The connectedness of weakly and strongly efficient solution sets of nonconvex vector equilibrium problems 非凸向量平衡问题弱有效解集和强有效解集的连通性
Applied Set-Valued Analysis and Optimization Pub Date : 1900-01-01 DOI: 10.23952/asvao.4.2022.1.08
{"title":"The connectedness of weakly and strongly efficient solution sets of nonconvex vector equilibrium problems","authors":"","doi":"10.23952/asvao.4.2022.1.08","DOIUrl":"https://doi.org/10.23952/asvao.4.2022.1.08","url":null,"abstract":"","PeriodicalId":362333,"journal":{"name":"Applied Set-Valued Analysis and Optimization","volume":"119 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122451804","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","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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