Pub Date : 2024-07-31DOI: 10.1080/02331934.2024.2386112
Hristina Topalova, Nadia Zlateva
We establish a general method for simultaneously perturbing a convergent sequence of functions in such a way that the sequence of strong minima of the perturbed functions tends to the strong minimu...
我们建立了同时扰动收敛函数序列的一般方法，从而使被扰动函数的强极小值序列趋向于强极小值。
{"title":"Simultaneous perturbed minimization of a convergent sequence of functions","authors":"Hristina Topalova, Nadia Zlateva","doi":"10.1080/02331934.2024.2386112","DOIUrl":"https://doi.org/10.1080/02331934.2024.2386112","url":null,"abstract":"We establish a general method for simultaneously perturbing a convergent sequence of functions in such a way that the sequence of strong minima of the perturbed functions tends to the strong minimu...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":"23 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141943615","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 : 2024-07-30DOI: 10.1080/02331934.2024.2385645
Duong Viet Thong, Xiao-Huan Li, Vu Tien Dung, Pham Thi Huong Huyen, Hoang Thi Thanh Tam
In this work, we revisit a version of the Tseng extragradient method for pseudomonotone variational inequalities and give sufficient conditions for its convergence. We first study a modified inerti...
{"title":"Novel inertial extragradient method for solving pseudomonotone variational inequality problems","authors":"Duong Viet Thong, Xiao-Huan Li, Vu Tien Dung, Pham Thi Huong Huyen, Hoang Thi Thanh Tam","doi":"10.1080/02331934.2024.2385645","DOIUrl":"https://doi.org/10.1080/02331934.2024.2385645","url":null,"abstract":"In this work, we revisit a version of the Tseng extragradient method for pseudomonotone variational inequalities and give sufficient conditions for its convergence. We first study a modified inerti...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":"20 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141882170","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 : 2024-07-30DOI: 10.1080/02331934.2024.2385643
Boris S. Mordukhovich, Pengcheng Wu, Xiaoqi Yang
This paper addresses the study of novel constructions of variational analysis and generalized differentiation that are appropriate for characterizing robust stability properties of constrained set-...
本文探讨了变分分析和广义微分的新构造，这些构造适用于描述受约束集合的稳健稳定性特性。
{"title":"Stability criteria and calculus rules via conic contingent coderivatives in Banach spaces","authors":"Boris S. Mordukhovich, Pengcheng Wu, Xiaoqi Yang","doi":"10.1080/02331934.2024.2385643","DOIUrl":"https://doi.org/10.1080/02331934.2024.2385643","url":null,"abstract":"This paper addresses the study of novel constructions of variational analysis and generalized differentiation that are appropriate for characterizing robust stability properties of constrained set-...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":"56 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141882169","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 : 2024-07-30DOI: 10.1080/02331934.2024.2377237
Andreas Löhne
For a given polyhedral convex set-valued mapping we define a polyhedral convex cone which we call the natural ordering cone. We show that the solution behaviour of a polyhedral convex set optimizat...
{"title":"The natural ordering cone of a polyhedral convex set-valued objective mapping","authors":"Andreas Löhne","doi":"10.1080/02331934.2024.2377237","DOIUrl":"https://doi.org/10.1080/02331934.2024.2377237","url":null,"abstract":"For a given polyhedral convex set-valued mapping we define a polyhedral convex cone which we call the natural ordering cone. We show that the solution behaviour of a polyhedral convex set optimizat...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":"12 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141943616","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 : 2024-07-30DOI: 10.1080/02331934.2024.2385656
Nguyen Duy Cuong, Alexander Y. Kruger, Nguyen Hieu Thao
The paper proposes another extension of the extremal principle. A new extremality model involving collections of arbitrary families of sets is studied. It generalizes the conventional model based o...
{"title":"Extremality of families of sets","authors":"Nguyen Duy Cuong, Alexander Y. Kruger, Nguyen Hieu Thao","doi":"10.1080/02331934.2024.2385656","DOIUrl":"https://doi.org/10.1080/02331934.2024.2385656","url":null,"abstract":"The paper proposes another extension of the extremal principle. A new extremality model involving collections of arbitrary families of sets is studied. It generalizes the conventional model based o...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":"106 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141882165","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 : 2024-07-26DOI: 10.1080/02331934.2024.2382397
A. Barbagallo
The aim of the paper is to investigate the existence of solutions for the class of strongly pseudomonotone quasi-variational inequalities. The weak Mosco continuity of multifunctions has a key role...
本文旨在研究强假单调准变量不等式的解的存在性。多重函数的弱莫斯科连续性在此问题中起着关键作用。
{"title":"Existence results for a class of quasi-variational inequalities and applications to a noncooperative model","authors":"A. Barbagallo","doi":"10.1080/02331934.2024.2382397","DOIUrl":"https://doi.org/10.1080/02331934.2024.2382397","url":null,"abstract":"The aim of the paper is to investigate the existence of solutions for the class of strongly pseudomonotone quasi-variational inequalities. The weak Mosco continuity of multifunctions has a key role...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":"40 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-07-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141775597","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 : 2024-07-17DOI: 10.1080/02331934.2024.2375430
Pham Thi Hoai, Nguyen The Vinh
In this paper, we propose a new projection algorithm to solve the split feasibility problem in Hilbert spaces. This method involves a new strategy that projects the inertial term onto the intersect...
{"title":"An inertial hyperplane projection method for split feasibility problems and applications","authors":"Pham Thi Hoai, Nguyen The Vinh","doi":"10.1080/02331934.2024.2375430","DOIUrl":"https://doi.org/10.1080/02331934.2024.2375430","url":null,"abstract":"In this paper, we propose a new projection algorithm to solve the split feasibility problem in Hilbert spaces. This method involves a new strategy that projects the inertial term onto the intersect...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":"22 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141745862","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 : 2024-07-12DOI: 10.1080/02331934.2024.2370427
Jinlu Li
In this paper, we investigate the properties and the precise solutions of the Mordukhovich derivatives of the set-valued metric projection operator onto some closed balls in some general Banach spa...
{"title":"Mordukhovich derivatives of the set-valued metric projection operator in general Banach spaces","authors":"Jinlu Li","doi":"10.1080/02331934.2024.2370427","DOIUrl":"https://doi.org/10.1080/02331934.2024.2370427","url":null,"abstract":"In this paper, we investigate the properties and the precise solutions of the Mordukhovich derivatives of the set-valued metric projection operator onto some closed balls in some general Banach spa...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":"7 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141882167","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 : 2024-07-12DOI: 10.1080/02331934.2024.2371041
Zunjie Huang, Yongle Zhang, Yiran He
Many well-known projection algorithms may have no convergence results when the mapping lacks generalized monotonicity. This paper proposes a modified projection contraction algorithm and a modified...
{"title":"A class modified projection algorithms for nonmonotone variational inequalities with continuity","authors":"Zunjie Huang, Yongle Zhang, Yiran He","doi":"10.1080/02331934.2024.2371041","DOIUrl":"https://doi.org/10.1080/02331934.2024.2371041","url":null,"abstract":"Many well-known projection algorithms may have no convergence results when the mapping lacks generalized monotonicity. This paper proposes a modified projection contraction algorithm and a modified...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":"1 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141614953","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 : 2024-07-08DOI: 10.1080/02331934.2024.2375424
Le Tram Nguyen, Yu-Lin Chang, Chu-Chin Hu, Jein-Shan Chen
Recently, a new type of optimization problems, the so-called interval optimization problems on Hadamard manifolds, is introduced by the authors in Nguyen et al. [Interval optimization problems on H...
{"title":"Optimality and KKT conditions for interval valued optimization problems on Hadamard manifolds","authors":"Le Tram Nguyen, Yu-Lin Chang, Chu-Chin Hu, Jein-Shan Chen","doi":"10.1080/02331934.2024.2375424","DOIUrl":"https://doi.org/10.1080/02331934.2024.2375424","url":null,"abstract":"Recently, a new type of optimization problems, the so-called interval optimization problems on Hadamard manifolds, is introduced by the authors in Nguyen et al. [Interval optimization problems on H...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":"37 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-07-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141572903","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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