Pub Date : 2024-04-12DOI: 10.1080/02331934.2024.2341016
Chaoli Yao, Siqi Wang
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...
在Yao等人[Yao CL, Wang SQ, Tammer C.矢量值弱分离函数的构建及其在矢量优化中共轭对偶性的应用；2024.提交]中，基于...
{"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":"46 1","pages":""},"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}
Pub Date : 2024-04-10DOI: 10.1080/02331934.2024.2323688
Kien Trung Nguyen, Nguyen Thanh Hung, Huong Nguyen-Thu
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...
在本文中，我们提出了一种统一的方法，利用有序中值函数来求解求和目标和最大目标下的树上逆 1 中值问题。对于 k 目标下的问题...
{"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":"24 1","pages":""},"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}
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...
{"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":"817 1","pages":""},"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}
Pub Date : 2024-04-02DOI: 10.1080/02331934.2024.2335948
F. Flores-Bazán, Y. García, A. Pérez
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...
{"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":"160 42 1","pages":""},"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}
Pub Date : 2024-04-02DOI: 10.1080/02331934.2024.2329272
Constantin Zălinescu
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...
研究了在非光滑非凸变问题中出现的全局极值结果，该结果在应用中（例如在大变形弹性问题中）与...
{"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":"89 1","pages":""},"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}
Pub Date : 2024-03-26DOI: 10.1080/02331934.2024.2328648
Gerd Wachsmuth
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...
{"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":"46 1","pages":""},"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}
Pub Date : 2024-03-25DOI: 10.1080/02331934.2024.2331791
J. Balooee, S. Al-Homidan, J. F. Tang, S. S. Chang, J. C. Yao
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...
{"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":"10 1","pages":""},"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}
Pub Date : 2024-03-25DOI: 10.1080/02331934.2024.2332619
Wilfried Grecksch, Hannelore Lisei, Brigitte E. Breckner
The aim of this paper is to investigate the existence of optimal solutions for control problems involving nonlinear stochastic Schrödinger equations perturbed by a multiplicative fractional Brownia...
本文旨在研究受乘法分数布朗尼亚扰动的非线性随机薛定谔方程控制问题的最优解的存在性。
{"title":"Optimal control for a nonlinear Schrödinger problem perturbed by multiplicative fractional noise","authors":"Wilfried Grecksch, Hannelore Lisei, Brigitte E. Breckner","doi":"10.1080/02331934.2024.2332619","DOIUrl":"https://doi.org/10.1080/02331934.2024.2332619","url":null,"abstract":"The aim of this paper is to investigate the existence of optimal solutions for control problems involving nonlinear stochastic Schrödinger equations perturbed by a multiplicative fractional Brownia...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":"29 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140298052","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 : 2024-03-21DOI: 10.1080/02331934.2024.2331361
Mirjam Dür, Marco Antonio López Cerdá, Oliver Stein, Marc Uetz
Published in Optimization: A Journal of Mathematical Programming and Operations Research (Ahead of Print, 2024)
发表于《优化》：数学编程与运筹学期刊》（2024 年提前出版）
{"title":"Obituary for Georg J. Still (13 November 1951–15 December 2023)","authors":"Mirjam Dür, Marco Antonio López Cerdá, Oliver Stein, Marc Uetz","doi":"10.1080/02331934.2024.2331361","DOIUrl":"https://doi.org/10.1080/02331934.2024.2331361","url":null,"abstract":"Published in Optimization: A Journal of Mathematical Programming and Operations Research (Ahead of Print, 2024)","PeriodicalId":54671,"journal":{"name":"Optimization","volume":"16 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-03-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140202009","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 : 2024-03-21DOI: 10.1080/02331934.2024.2331798
Tran Hung Cuong, Ching-Feng Wen, Jen-Chih Yao, Nguyen Dong Yen
Several new qualitative properties of the problem of minimizing the sum of the weighted minima of the Euclidean distances of the demand points to the facilities, which is called the multi-source We...
最小化需求点到设施的欧几里得距离的加权最小值之和的问题有几个新的定性性质，这个问题被称为多源问题。
{"title":"Local solutions of the multi-source Weber problem","authors":"Tran Hung Cuong, Ching-Feng Wen, Jen-Chih Yao, Nguyen Dong Yen","doi":"10.1080/02331934.2024.2331798","DOIUrl":"https://doi.org/10.1080/02331934.2024.2331798","url":null,"abstract":"Several new qualitative properties of the problem of minimizing the sum of the weighted minima of the Euclidean distances of the demand points to the facilities, which is called the multi-source We...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":"13 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-03-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140202151","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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