Pub Date : 2024-08-12DOI: 10.1080/02331934.2024.2389243
Le Van Hien
In this paper, we first present a simpler proof of a result on the strict Fréchet differentiability of the metric projection operator onto closed balls centred at the origin in Hilbert spaces, whic...
{"title":"Some results on the strict Fréchet differentiability of the metric projection operator in Hilbert spaces","authors":"Le Van Hien","doi":"10.1080/02331934.2024.2389243","DOIUrl":"https://doi.org/10.1080/02331934.2024.2389243","url":null,"abstract":"In this paper, we first present a simpler proof of a result on the strict Fréchet differentiability of the metric projection operator onto closed balls centred at the origin in Hilbert spaces, whic...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":"7 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142185933","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}
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....
{"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}
Pub Date : 2024-08-06DOI: 10.1080/02331934.2024.2386111
Yantao Yang, Eskandar Naraghirad
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...
{"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}
Pub Date : 2024-08-05DOI: 10.1080/02331934.2024.2385648
Harald Günzel, Daniel Hernández Escobar, Jan-J. Rückmann
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...
{"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}
Pub Date : 2024-08-01DOI: 10.1080/02331934.2024.2384919
Christian Günther, Alexandru Orzan, Nicolae Popovici
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...
我们为定义在实线性空间 X 中的非空凸集上的向量函数建立了一个新的半区间类凸性概念，该向量函数在某个实拓扑线性空间 Y 中取值，部分...
{"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}
Pub Date : 2024-08-01DOI: 10.1080/02331934.2024.2386589
Mohammed Bachir, Rongzhen Lyu
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...
{"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}
Pub Date : 2024-07-31DOI: 10.1080/02331934.2024.2385651
Marek Galewski, Dumitru Motreanu
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 ...
{"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}
Pub Date : 2024-07-31DOI: 10.1080/02331934.2024.2385646
Watcharaporn Cholamjiak, Yekini Shehu, Jen-Chih Yao
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...
{"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}
Pub Date : 2024-07-31DOI: 10.1080/02331934.2024.2385647
R. S. Shanmugapriya, V. Vijayakumar
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...
{"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}
Pub Date : 2024-07-31DOI: 10.1080/02331934.2024.2384918
I. Gayte-Delgado, I. Marín-Gayte
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...
{"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}
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