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Simultaneous perturbed minimization of a convergent sequence of functions 收敛函数序列的同步扰动最小化
IF 2.2 3区 数学
Optimization Pub Date : 2024-07-31 DOI: 10.1080/02331934.2024.2386112
Hristina Topalova, Nadia Zlateva
{"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}
引用次数: 0
Novel inertial extragradient method for solving pseudomonotone variational inequality problems 解决伪单调变分不等式问题的新型惯性外梯度法
IF 2.2 3区 数学
Optimization Pub Date : 2024-07-30 DOI: 10.1080/02331934.2024.2385645
Duong Viet Thong, Xiao-Huan Li, Vu Tien Dung, Pham Thi Huong Huyen, Hoang Thi Thanh Tam
{"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}
引用次数: 0
Stability criteria and calculus rules via conic contingent coderivatives in Banach spaces 通过巴拿赫空间中的圆锥或然编码器实现稳定性标准和微积分规则
IF 2.2 3区 数学
Optimization Pub Date : 2024-07-30 DOI: 10.1080/02331934.2024.2385643
Boris S. Mordukhovich, Pengcheng Wu, Xiaoqi Yang
{"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}
引用次数: 0
The natural ordering cone of a polyhedral convex set-valued objective mapping 多面体凸集值目标映射的自然排序锥
IF 2.2 3区 数学
Optimization Pub Date : 2024-07-30 DOI: 10.1080/02331934.2024.2377237
Andreas Löhne
{"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}
引用次数: 0
Extremality of families of sets 集合族的极端性
IF 2.2 3区 数学
Optimization Pub Date : 2024-07-30 DOI: 10.1080/02331934.2024.2385656
Nguyen Duy Cuong, Alexander Y. Kruger, Nguyen Hieu Thao
{"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}
引用次数: 0
Existence results for a class of quasi-variational inequalities and applications to a noncooperative model 一类准变量不等式的存在结果及其在非合作模型中的应用
IF 2.2 3区 数学
Optimization Pub Date : 2024-07-26 DOI: 10.1080/02331934.2024.2382397
A. Barbagallo
{"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}
引用次数: 0
An inertial hyperplane projection method for split feasibility problems and applications 用于分割可行性问题的惯性超平面投影法及其应用
IF 2.2 3区 数学
Optimization Pub Date : 2024-07-17 DOI: 10.1080/02331934.2024.2375430
Pham Thi Hoai, Nguyen The Vinh
{"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}
引用次数: 0
Mordukhovich derivatives of the set-valued metric projection operator in general Banach spaces 一般巴拿赫空间中集值度量投影算子的莫尔杜霍维奇导数
IF 2.2 3区 数学
Optimization Pub Date : 2024-07-12 DOI: 10.1080/02331934.2024.2370427
Jinlu Li
{"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}
引用次数: 0
A class modified projection algorithms for nonmonotone variational inequalities with continuity 具有连续性的非单调变分不等式的一类修正投影算法
IF 2.2 3区 数学
Optimization Pub Date : 2024-07-12 DOI: 10.1080/02331934.2024.2371041
Zunjie Huang, Yongle Zhang, Yiran He
{"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}
引用次数: 0
Optimality and KKT conditions for interval valued optimization problems on Hadamard manifolds 哈达玛流形上区间值优化问题的最优性和 KKT 条件
IF 2.2 3区 数学
Optimization Pub Date : 2024-07-08 DOI: 10.1080/02331934.2024.2375424
Le Tram Nguyen, Yu-Lin Chang, Chu-Chin Hu, Jein-Shan Chen
{"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}
引用次数: 0
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