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Some results on the strict Fréchet differentiability of the metric projection operator in Hilbert spaces 关于希尔伯特空间中度量投影算子的严格弗雷谢特可微分性的一些结果
IF 2.2 3区 数学
Optimization Pub Date : 2024-08-12 DOI: 10.1080/02331934.2024.2389243
Le Van Hien
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引用次数: 0
A class of one-parameter filled functions with the same local minima as the objective function for global optimization problems 一类与全局优化问题目标函数具有相同局部极小值的单参数填充函数
IF 2.2 3区 数学
Optimization Pub Date : 2024-08-12 DOI: 10.1080/02331934.2024.2389251
Youlin Shang, Guanglei Sun, Xiaoqiang Wang, Roxin Zhang
{"title":"A class of one-parameter filled functions with the same local minima as the objective function for global optimization problems","authors":"Youlin Shang, Guanglei Sun, Xiaoqiang Wang, Roxin Zhang","doi":"10.1080/02331934.2024.2389251","DOIUrl":"https://doi.org/10.1080/02331934.2024.2389251","url":null,"abstract":"As an effective global optimization method, the filled function algorithm obtains the optimal solution of optimization problems by alternately minimizing the objective function and filled function....","PeriodicalId":54671,"journal":{"name":"Optimization","volume":"3 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142185931","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 Bregman proximal point algorithm without convexity in Banach spaces 巴拿赫空间中无凸性的布雷格曼近点算法
IF 2.2 3区 数学
Optimization Pub Date : 2024-08-06 DOI: 10.1080/02331934.2024.2386111
Yantao Yang, Eskandar Naraghirad
{"title":"A Bregman proximal point algorithm without convexity in Banach spaces","authors":"Yantao Yang, Eskandar Naraghirad","doi":"10.1080/02331934.2024.2386111","DOIUrl":"https://doi.org/10.1080/02331934.2024.2386111","url":null,"abstract":"In this paper, we first introduce a Bregman prox-convexity notion as the generalization of the convexity for Bregman prox-convexity in Banach spaces. We verify the single-valudeness and Bregman fir...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":"22 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141943610","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
MPCC: strong stability of weakly nondegenerate S-stationary points MPCC：弱非整定 S 静止点的强稳定性
IF 2.2 3区 数学
Optimization Pub Date : 2024-08-05 DOI: 10.1080/02331934.2024.2385648
Harald Günzel, Daniel Hernández Escobar, Jan-J. Rückmann
{"title":"MPCC: strong stability of weakly nondegenerate S-stationary points","authors":"Harald Günzel, Daniel Hernández Escobar, Jan-J. Rückmann","doi":"10.1080/02331934.2024.2385648","DOIUrl":"https://doi.org/10.1080/02331934.2024.2385648","url":null,"abstract":"In this paper, we consider the class of mathematical programmes with complementarity constraints (MPCC). Specifically, we focus on strong stability of M- and S-stationary points for MPCC. Kojima in...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":"1 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141943612","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 concept of semistrict quasiconvexity for vector functions 矢量函数半区间准凸性的新概念
IF 2.2 3区 数学
Optimization Pub Date : 2024-08-01 DOI: 10.1080/02331934.2024.2384919
Christian Günther, Alexandru Orzan, Nicolae Popovici
{"title":"A new concept of semistrict quasiconvexity for vector functions","authors":"Christian Günther, Alexandru Orzan, Nicolae Popovici","doi":"10.1080/02331934.2024.2384919","DOIUrl":"https://doi.org/10.1080/02331934.2024.2384919","url":null,"abstract":"We establish a new concept of semistrict quasiconvexity for vector functions defined on a nonempty convex set in a real linear space X that take values in some real topological linear space Y, part...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":"6 7 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141882168","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
Multiplier rules for Dini-derivatives in a topological vector space 拓扑向量空间中迪尼-衍生器的乘法规则
IF 2.2 3区 数学
Optimization Pub Date : 2024-08-01 DOI: 10.1080/02331934.2024.2386589
Mohammed Bachir, Rongzhen Lyu
{"title":"Multiplier rules for Dini-derivatives in a topological vector space","authors":"Mohammed Bachir, Rongzhen Lyu","doi":"10.1080/02331934.2024.2386589","DOIUrl":"https://doi.org/10.1080/02331934.2024.2386589","url":null,"abstract":"We provide new results of first-order necessary conditions of optimality problem in the form of John's theorem and in the form of Karush–Kuhn–Tucker's theorem. We establish our result in a topologi...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":"25 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141943611","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 a hemivariational inequality with non-monotone operator 论带有非单调算子的半变量不等式
IF 2.2 3区 数学
Optimization Pub Date : 2024-07-31 DOI: 10.1080/02331934.2024.2385651
Marek Galewski, Dumitru Motreanu
{"title":"On a hemivariational inequality with non-monotone operator","authors":"Marek Galewski, Dumitru Motreanu","doi":"10.1080/02331934.2024.2385651","DOIUrl":"https://doi.org/10.1080/02331934.2024.2385651","url":null,"abstract":"We investigate the existence of generalized variational solutions to abstract hemivariational inequality driven by a coercive and locally Lipschitz operator with no further monotonicity conditions ...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":"39 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141943614","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
Prediction of breast cancer through fast optimization techniques applied to machine learning 通过应用于机器学习的快速优化技术预测乳腺癌
IF 2.2 3区 数学
Optimization Pub Date : 2024-07-31 DOI: 10.1080/02331934.2024.2385646
Watcharaporn Cholamjiak, Yekini Shehu, Jen-Chih Yao
{"title":"Prediction of breast cancer through fast optimization techniques applied to machine learning","authors":"Watcharaporn Cholamjiak, Yekini Shehu, Jen-Chih Yao","doi":"10.1080/02331934.2024.2385646","DOIUrl":"https://doi.org/10.1080/02331934.2024.2385646","url":null,"abstract":"This paper studies new accelerated optimization algorithms and applies the algorithms to the prediction of breast cancer through a machine-learning approach. We first introduce new fast CQ algorith...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":"10 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141943617","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 approximate controllability of second-order stochastic differential systems with hemivariational inequalities with damping 论带阻尼半变量不等式的二阶随机微分系统的近似可控性
IF 2.2 3区 数学
Optimization Pub Date : 2024-07-31 DOI: 10.1080/02331934.2024.2385647
R. S. Shanmugapriya, V. Vijayakumar
{"title":"On the approximate controllability of second-order stochastic differential systems with hemivariational inequalities with damping","authors":"R. S. Shanmugapriya, V. Vijayakumar","doi":"10.1080/02331934.2024.2385647","DOIUrl":"https://doi.org/10.1080/02331934.2024.2385647","url":null,"abstract":"In this article, we investigate the approximate controllability of damping second-order stochastic differential systems with hemivariational inequalities. First, we show the existence of a mild sol...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":"25 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141882166","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
Multiobjective optimal control problems. Stationary Navier–Stokes equations 多目标优化控制问题。静态纳维-斯托克斯方程
IF 2.2 3区 数学
Optimization Pub Date : 2024-07-31 DOI: 10.1080/02331934.2024.2384918
I. Gayte-Delgado, I. Marín-Gayte
{"title":"Multiobjective optimal control problems. Stationary Navier–Stokes equations","authors":"I. Gayte-Delgado, I. Marín-Gayte","doi":"10.1080/02331934.2024.2384918","DOIUrl":"https://doi.org/10.1080/02331934.2024.2384918","url":null,"abstract":"This paper deals with the solution of some multi-objective optimal control problems for stationary Navier–Stokes equations. More precisely, we look for Pareto and Nash equilibria associated to stan...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":"30 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141943613","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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