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The projection algorithm for inverse quasi-variational inequalities with applications to traffic assignment and network equilibrium control problems 逆准变分不等式的投影算法及其在交通分配和网络均衡控制问题中的应用
IF 2.2 3区 数学
Optimization Pub Date : 2024-03-21 DOI: 10.1080/02331934.2024.2329788
Thanh Quoc Trinh, Phan Tu Vuong
{"title":"The projection algorithm for inverse quasi-variational inequalities with applications to traffic assignment and network equilibrium control problems","authors":"Thanh Quoc Trinh, Phan Tu Vuong","doi":"10.1080/02331934.2024.2329788","DOIUrl":"https://doi.org/10.1080/02331934.2024.2329788","url":null,"abstract":"We consider a first-order dynamical system for solving inverse quasi-variational inequalities in finite dimensional spaces. Through an explicit time discrete version of the proposed dynamical syste...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":"26 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-03-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140202111","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
Proximal point type algorithms with relaxed and inertial effects beyond convexity 具有超越凸性的松弛和惯性效应的近点类型算法
IF 2.2 3区 数学
Optimization Pub Date : 2024-03-20 DOI: 10.1080/02331934.2024.2329779
S.-M. Grad, F. Lara, R. T. Marcavillaca
{"title":"Proximal point type algorithms with relaxed and inertial effects beyond convexity","authors":"S.-M. Grad, F. Lara, R. T. Marcavillaca","doi":"10.1080/02331934.2024.2329779","DOIUrl":"https://doi.org/10.1080/02331934.2024.2329779","url":null,"abstract":"We show that the recent relaxed-inertial proximal point algorithm due to Attouch and Cabot remains convergent when the function to be minimized is not convex, being only endowed with certain genera...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":"96 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140167903","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
Forward-backward-half forward splitting algorithm with deviations 有偏差的正向-后向-半正向分割算法
IF 2.2 3区 数学
Optimization Pub Date : 2024-03-19 DOI: 10.1080/02331934.2024.2329271
Liqian Qin, Qiao-Li Dong, Yaxuan Zhang, D. R. Sahu
{"title":"Forward-backward-half forward splitting algorithm with deviations","authors":"Liqian Qin, Qiao-Li Dong, Yaxuan Zhang, D. R. Sahu","doi":"10.1080/02331934.2024.2329271","DOIUrl":"https://doi.org/10.1080/02331934.2024.2329271","url":null,"abstract":"In this paper, we present a forward-backward-half forward splitting algorithm with deviations for solving the structured monotone inclusion problem composed of a maximally monotone operator, a maxi...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":"23 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-03-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140167847","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 fresh look at nonsmooth Levenberg–Marquardt methods with applications to bilevel optimization 重新审视非光滑 Levenberg-Marquardt 方法在双层优化中的应用
IF 2.2 3区 数学
Optimization Pub Date : 2024-03-12 DOI: 10.1080/02331934.2024.2313688
Lateef O. Jolaoso, Patrick Mehlitz, Alain B. Zemkoho
{"title":"A fresh look at nonsmooth Levenberg–Marquardt methods with applications to bilevel optimization","authors":"Lateef O. Jolaoso, Patrick Mehlitz, Alain B. Zemkoho","doi":"10.1080/02331934.2024.2313688","DOIUrl":"https://doi.org/10.1080/02331934.2024.2313688","url":null,"abstract":"In this paper, we revisit the classical problem of solving over-determined systems of nonsmooth equations numerically. We suggest a nonsmooth Levenberg–Marquardt method for its solution which, in c...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":"7 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-03-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140105943","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
New existence results for evolutionary quasi-hemi-variational inequalities and their optimal control 进化准半变量不等式及其最优控制的新存在结果
IF 2.2 3区 数学
Optimization Pub Date : 2024-03-12 DOI: 10.1080/02331934.2024.2326589
Akhtar A. Khan, Stanisław Migórski, Shengda Zeng
{"title":"New existence results for evolutionary quasi-hemi-variational inequalities and their optimal control","authors":"Akhtar A. Khan, Stanisław Migórski, Shengda Zeng","doi":"10.1080/02331934.2024.2326589","DOIUrl":"https://doi.org/10.1080/02331934.2024.2326589","url":null,"abstract":"This paper investigates evolutionary quasi-variational inequalities that involve multi-valued monotone and pseudo-monotone maps. The purpose of including the pseudo-monotone map is to encompass gen...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":"42 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-03-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140114919","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
Approximation of optimization problems with constraints through kernel Sum-of-Squares 通过内核平方和逼近带约束条件的优化问题
IF 2.2 3区 数学
Optimization Pub Date : 2024-03-11 DOI: 10.1080/02331934.2024.2323686
Pierre-Cyril Aubin-Frankowski, Alessandro Rudi
{"title":"Approximation of optimization problems with constraints through kernel Sum-of-Squares","authors":"Pierre-Cyril Aubin-Frankowski, Alessandro Rudi","doi":"10.1080/02331934.2024.2323686","DOIUrl":"https://doi.org/10.1080/02331934.2024.2323686","url":null,"abstract":"Handling an infinite number of inequality constraints in infinite-dimensional spaces occurs in many fields, from global optimization to optimal transport. These problems have been tackled individua...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":"25 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-03-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140117468","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
Notes on the value function approach to multiobjective bilevel optimization 多目标双层优化的价值函数方法说明
IF 2.2 3区 数学
Optimization Pub Date : 2024-03-08 DOI: 10.1080/02331934.2024.2323107
Daniel Hoff, Patrick Mehlitz
{"title":"Notes on the value function approach to multiobjective bilevel optimization","authors":"Daniel Hoff, Patrick Mehlitz","doi":"10.1080/02331934.2024.2323107","DOIUrl":"https://doi.org/10.1080/02331934.2024.2323107","url":null,"abstract":"This paper is concerned with the value function approach to multiobjective bilevel optimization which exploits a lower-level frontier-type mapping in order to replace the hierarchical model of two ...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":"44 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-03-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140075541","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
The degenerate variable metric proximal point algorithm and adaptive stepsizes for primal–dual Douglas–Rachford 退化可变度量近点算法和原始-双重道格拉斯-拉赫福德的自适应步长
IF 2.2 3区 数学
Optimization Pub Date : 2024-03-06 DOI: 10.1080/02331934.2024.2325552
Dirk A. Lorenz, Jannis Marquardt, Emanuele Naldi
{"title":"The degenerate variable metric proximal point algorithm and adaptive stepsizes for primal–dual Douglas–Rachford","authors":"Dirk A. Lorenz, Jannis Marquardt, Emanuele Naldi","doi":"10.1080/02331934.2024.2325552","DOIUrl":"https://doi.org/10.1080/02331934.2024.2325552","url":null,"abstract":"In this paper, the degenerate preconditioned proximal point algorithm will be combined with the idea of varying preconditioners leading to the degenerate variable metric proximal point algorithm. T...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":"23 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140075564","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
Terminal wealth maximization under drift uncertainty 漂移不确定性下的终端财富最大化
IF 2.2 3区 数学
Optimization Pub Date : 2024-03-05 DOI: 10.1080/02331934.2024.2324143
Kerem Uğurlu
{"title":"Terminal wealth maximization under drift uncertainty","authors":"Kerem Uğurlu","doi":"10.1080/02331934.2024.2324143","DOIUrl":"https://doi.org/10.1080/02331934.2024.2324143","url":null,"abstract":"We study the portfolio optimization problem of an investor seeking to maximize his terminal wealth. The portfolio is composed of one risky asset, a stock, and one riskless asset, a bond. We assume ...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":"80 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-03-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140032556","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 new branch and bound method for solving linear multiplicative programming problems 求解线性乘法编程问题的新分支和约束方法
IF 2.2 3区 数学
Optimization Pub Date : 2024-03-03 DOI: 10.1080/02331934.2024.2323684
Bingdi Huang, Peiping Shen
{"title":"A new branch and bound method for solving linear multiplicative programming problems","authors":"Bingdi Huang, Peiping Shen","doi":"10.1080/02331934.2024.2323684","DOIUrl":"https://doi.org/10.1080/02331934.2024.2323684","url":null,"abstract":"This paper studies a class of linear multiplicative problems (LMP). To find a global optimal solution of problem (LMP), we first convert problem (LMP) into an equivalent problem (EP) via auxiliary ...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":"39 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-03-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140032674","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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