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Splitting algorithms for solving state-dependent maximal monotone inclusion problems 解决与状态相关的最大单调包含问题的分割算法
IF 2.2 3区 数学
Optimization Pub Date : 2024-04-19 DOI: 10.1080/02331934.2024.2341942
Xiaoxiao Li, Qiao-Li Dong, Aviv Gibali
{"title":"Splitting algorithms for solving state-dependent maximal monotone inclusion problems","authors":"Xiaoxiao Li, Qiao-Li Dong, Aviv Gibali","doi":"10.1080/02331934.2024.2341942","DOIUrl":"https://doi.org/10.1080/02331934.2024.2341942","url":null,"abstract":"We consider the state-dependent maximal monotone inclusion problem and propose forward-backward splitting algorithms for solving it. Strong convergence of the proposed algorithms is established und...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2024-04-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140624769","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 maximal monotone operators in Hadamard spaces 论哈达玛德空间中的最大单调算子
IF 2.2 3区 数学
Optimization Pub Date : 2024-04-17 DOI: 10.1080/02331934.2024.2341940
Ali Moslemipour, Mehdi Roohi, Jen-Chih Yao
{"title":"On the maximal monotone operators in Hadamard spaces","authors":"Ali Moslemipour, Mehdi Roohi, Jen-Chih Yao","doi":"10.1080/02331934.2024.2341940","DOIUrl":"https://doi.org/10.1080/02331934.2024.2341940","url":null,"abstract":"In this paper, some topics of monotone operator theory in the setting of Hadamard spaces are investigated. For a fixed element p in a Hadamard space X, the notion of p-Fenchel conjugate is introduc...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2024-04-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140613963","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 reconsideration on convergence of the extra-gradient method for solving quasimonotone variational inequalities 重新考虑求解准单调变分不等式的梯度外方法的收敛性
IF 2.2 3区 数学
Optimization Pub Date : 2024-04-12 DOI: 10.1080/02331934.2024.2341941
Li-Jun Zhu, Tzu-Chien Yin
{"title":"A reconsideration on convergence of the extra-gradient method for solving quasimonotone variational inequalities","authors":"Li-Jun Zhu, Tzu-Chien Yin","doi":"10.1080/02331934.2024.2341941","DOIUrl":"https://doi.org/10.1080/02331934.2024.2341941","url":null,"abstract":"In this paper, we continue to investigate convergence of the extra-gradient method for solving quasimonotone variational inequalities in Hilbert spaces. Under some suitable conditions, we prove tha...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2024-04-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140573465","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 approach to duality via image space analysis and applications to linear vector optimization problems 通过图像空间分析实现对偶性的方法以及在线性矢量优化问题中的应用
IF 2.2 3区 数学
Optimization Pub Date : 2024-04-12 DOI: 10.1080/02331934.2024.2341016
Chaoli Yao, Siqi Wang
{"title":"An approach to duality via image space analysis and applications to linear vector optimization problems","authors":"Chaoli Yao, Siqi Wang","doi":"10.1080/02331934.2024.2341016","DOIUrl":"https://doi.org/10.1080/02331934.2024.2341016","url":null,"abstract":"In Yao et al. [Yao CL, Wang SQ, Tammer C. Construction of vector-valued weak separation functions with applications to conjugate duality in vector optimization; 2024. Submitted.], based on the idea...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2024-04-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140573685","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Unified approach to the inverse median location problem under the sum and the max objectives applying ordered median function 应用有序中值函数解决和与最大目标下的反向中值定位问题的统一方法
IF 2.2 3区 数学
Optimization Pub Date : 2024-04-10 DOI: 10.1080/02331934.2024.2323688
Kien Trung Nguyen, Nguyen Thanh Hung, Huong Nguyen-Thu
{"title":"Unified approach to the inverse median location problem under the sum and the max objectives applying ordered median function","authors":"Kien Trung Nguyen, Nguyen Thanh Hung, Huong Nguyen-Thu","doi":"10.1080/02331934.2024.2323688","DOIUrl":"https://doi.org/10.1080/02331934.2024.2323688","url":null,"abstract":"In this paper, we propose a unified approach to solving the inverse 1-median problem on trees under both the sum and max objectives by using the ordered median function. For the problem under the k...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2024-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140573684","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 linear-time approximation algorithm for the minimum-length geometric embedding of trees 树的最小长度几何嵌入的线性时间近似计算法
IF 2.2 3区 数学
Optimization Pub Date : 2024-04-03 DOI: 10.1080/02331934.2024.2335946
Alireza Bagheri, Fatemeh Keshavarz-Kohjerdi, Mohammadreza Razzazi
{"title":"A linear-time approximation algorithm for the minimum-length geometric embedding of trees","authors":"Alireza Bagheri, Fatemeh Keshavarz-Kohjerdi, Mohammadreza Razzazi","doi":"10.1080/02331934.2024.2335946","DOIUrl":"https://doi.org/10.1080/02331934.2024.2335946","url":null,"abstract":"In this paper, we study the problem of computing a geometric embedding of a tree onto a point set in the Euclidean plane such that the total edge length of the embedding is minimum. We present a li...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2024-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140574081","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Robust solutions for a class of quadratic optimization problems without classical convexity assumptions 一类无经典凸性假设的二次优化问题的稳健解决方案
IF 2.2 3区 数学
Optimization Pub Date : 2024-04-02 DOI: 10.1080/02331934.2024.2335948
F. Flores-Bazán, Y. García, A. Pérez
{"title":"Robust solutions for a class of quadratic optimization problems without classical convexity assumptions","authors":"F. Flores-Bazán, Y. García, A. Pérez","doi":"10.1080/02331934.2024.2335948","DOIUrl":"https://doi.org/10.1080/02331934.2024.2335948","url":null,"abstract":"We investigate a class of quadratic robust optimization problems under lower and upper bounds on the constraint, and establish, a robust alternative-type result and a robust S-lemma, provided a gen...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2024-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140574286","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 two results in nonlinear elasticity obtained on the basis of triality theory 论基于三性理论获得的非线性弹性的两个结果
IF 2.2 3区 数学
Optimization Pub Date : 2024-04-02 DOI: 10.1080/02331934.2024.2329272
Constantin Zălinescu
{"title":"On two results in nonlinear elasticity obtained on the basis of triality theory","authors":"Constantin Zălinescu","doi":"10.1080/02331934.2024.2329272","DOIUrl":"https://doi.org/10.1080/02331934.2024.2329272","url":null,"abstract":"A result concerning global extrema in a nonsmooth nonconvex variational problem that appears in applications (e.g. in a large deformation elasticity problem) is investigated in comparison with resu...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2024-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140574075","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Slater conditions without interior points for programs in Lebesgue spaces with pointwise bounds and finitely many constraints 具有点式约束和有限多约束的 Lebesgue 空间中无内点程序的斯莱特条件
IF 2.2 3区 数学
Optimization Pub Date : 2024-03-26 DOI: 10.1080/02331934.2024.2328648
Gerd Wachsmuth
{"title":"Slater conditions without interior points for programs in Lebesgue spaces with pointwise bounds and finitely many constraints","authors":"Gerd Wachsmuth","doi":"10.1080/02331934.2024.2328648","DOIUrl":"https://doi.org/10.1080/02331934.2024.2328648","url":null,"abstract":"We consider optimization problems in Lebesgue spaces with pointwise box constraints and finitely many additional linear constraints. We prove that the existence of a Slater point which lies strictl...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2024-03-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140311390","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Variational-like inclusion problems involving A-maximal m-relaxed η-accretive mappings in the sense of s.i.p. and fixed point problems 涉及s.i.p.意义上的A-最大m-松弛η-自洽映射的类变包含问题和定点问题
IF 2.2 3区 数学
Optimization Pub Date : 2024-03-25 DOI: 10.1080/02331934.2024.2331791
J. Balooee, S. Al-Homidan, J. F. Tang, S. S. Chang, J. C. Yao
{"title":"Variational-like inclusion problems involving A-maximal m-relaxed η-accretive mappings in the sense of s.i.p. and fixed point problems","authors":"J. Balooee, S. Al-Homidan, J. F. Tang, S. S. Chang, J. C. Yao","doi":"10.1080/02331934.2024.2331791","DOIUrl":"https://doi.org/10.1080/02331934.2024.2331791","url":null,"abstract":"This paper is devoted to the introduction of a new class of accretive mappings in the framework of q-uniformly smooth Banach spaces called A-maximal m-relaxed η-accretive mappings in the sense of s...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2024-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140297880","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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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