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One-parametric class of smoothing functions for (WSOCCP) and its Jacobian consistency 单参数类（WSOCCP）平滑函数及其雅各布一致性
IF 2.2 3区 数学
Optimization Pub Date : 2024-05-27 DOI: 10.1080/02331934.2024.2358404
Rashmi Kumari, C. Nahak
{"title":"One-parametric class of smoothing functions for (WSOCCP) and its Jacobian consistency","authors":"Rashmi Kumari, C. Nahak","doi":"10.1080/02331934.2024.2358404","DOIUrl":"https://doi.org/10.1080/02331934.2024.2358404","url":null,"abstract":"In this paper, we are interested in the study of weighted second-order cone complementarity problem (WSOCCP) and the smoothing function associated with it. A weighted second-order cone complementar...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":"112 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141513594","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 conditions for bilevel programmes via Moreau envelope reformulation* 通过莫罗包络重构实现双层方案的最优化条件*
IF 2.2 3区 数学
Optimization Pub Date : 2024-05-27 DOI: 10.1080/02331934.2024.2358086
Kuang Bai, Jane J. Ye, Shangzhi Zeng
{"title":"Optimality conditions for bilevel programmes via Moreau envelope reformulation*","authors":"Kuang Bai, Jane J. Ye, Shangzhi Zeng","doi":"10.1080/02331934.2024.2358086","DOIUrl":"https://doi.org/10.1080/02331934.2024.2358086","url":null,"abstract":"For bilevel programmes with a convex lower-level programme, the classical approach replaces the lower-level programme with its Karush-Kuhn-Tucker condition and solve the resulting mathematical prog...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":"496 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141513595","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
Two novel two-step inertial algorithms for a class of bilevel variational inequalities 针对一类双级变分不等式的两种新型两步惯性算法
IF 2.2 3区 数学
Optimization Pub Date : 2024-04-30 DOI: 10.1080/02331934.2024.2345763
Le Xuan Ly, Nguyen Thi Thu Thuy, Tran Thanh Tung
{"title":"Two novel two-step inertial algorithms for a class of bilevel variational inequalities","authors":"Le Xuan Ly, Nguyen Thi Thu Thuy, Tran Thanh Tung","doi":"10.1080/02331934.2024.2345763","DOIUrl":"https://doi.org/10.1080/02331934.2024.2345763","url":null,"abstract":"This paper introduces two novel two-step inertial and self-adaptive step sizes algorithms for solving a strongly monotone variational inequality over the solution set of a split convex feasibility ...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":"22 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141151636","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
Asymptotic regularity results for a viscosity version of Halpern-type iterations 哈尔彭型迭代粘度版本的渐近正则性结果
IF 2.2 3区 数学
Optimization Pub Date : 2024-04-29 DOI: 10.1080/02331934.2024.2347973
Alexander J. Zaslavski
{"title":"Asymptotic regularity results for a viscosity version of Halpern-type iterations","authors":"Alexander J. Zaslavski","doi":"10.1080/02331934.2024.2347973","DOIUrl":"https://doi.org/10.1080/02331934.2024.2347973","url":null,"abstract":"Recently, Cheval and Leustean computed linear rates of asymptotic regularity for a viscosity version of Halpern-type iterations generated by a nonexpansive self-mapping of a metric space assuming t...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":"30 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141151605","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 regularization schemes for data-driven optimization based on Cressie–Read divergence and CVaR 基于 Cressie-Read 发散和 CVaR 的数据驱动优化正则化方案
IF 2.2 3区 数学
Optimization Pub Date : 2024-04-29 DOI: 10.1080/02331934.2024.2345356
Wei Ni
{"title":"On regularization schemes for data-driven optimization based on Cressie–Read divergence and CVaR","authors":"Wei Ni","doi":"10.1080/02331934.2024.2345356","DOIUrl":"https://doi.org/10.1080/02331934.2024.2345356","url":null,"abstract":"This paper presents several regularization schemes for data-driven optimization problems. Data-driven optimization is a challenging task because the model or the distribution describing the inheren...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":"3 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141151635","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 globally convergent SQP-type method with least constraint violation for nonlinear semidefinite programming 非线性半定式程序设计的全局收敛 SQP 型方法，约束违反最少
IF 2.2 3区 数学
Optimization Pub Date : 2024-04-29 DOI: 10.1080/02331934.2024.2345397
Wenhao Fu, Zhongwen Chen
{"title":"A globally convergent SQP-type method with least constraint violation for nonlinear semidefinite programming","authors":"Wenhao Fu, Zhongwen Chen","doi":"10.1080/02331934.2024.2345397","DOIUrl":"https://doi.org/10.1080/02331934.2024.2345397","url":null,"abstract":"We present a globally convergent SQP-type method with the least constraint violation for nonlinear semidefinite programming. The proposed algorithm employs a two-phase strategy coupled with a line ...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":"45 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141151640","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 inexact variable metric variant of incremental aggregated Forward-Backward method for the large-scale composite optimization problem 针对大规模复合优化问题的增量聚合前向后向法的非精确变量度量变体
IF 2.2 3区 数学
Optimization Pub Date : 2024-04-26 DOI: 10.1080/02331934.2024.2345395
Zehui Jia, Junru Hou, Zhichao Shi, Suyun Yue
{"title":"An inexact variable metric variant of incremental aggregated Forward-Backward method for the large-scale composite optimization problem","authors":"Zehui Jia, Junru Hou, Zhichao Shi, Suyun Yue","doi":"10.1080/02331934.2024.2345395","DOIUrl":"https://doi.org/10.1080/02331934.2024.2345395","url":null,"abstract":"This paper focuses on the large-scale composite optimization problem, which is the sum of a finite number of smooth (possibly nonconvex) functions and a convex (possibly nonsmooth) function. A comm...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":"44 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140931882","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
Splitting algorithms for solving state-dependent maximal monotone inclusion problems 解决与状态相关的最大单调包含问题的分割算法
IF 2.2 3区 数学
Optimization Pub Date : 2024-04-19 DOI: 10.1080/02331934.2024.2341942
Xiaoxiao Li, Qiao-Li Dong, Aviv Gibali
{"title":"Splitting algorithms for solving state-dependent maximal monotone inclusion problems","authors":"Xiaoxiao Li, Qiao-Li Dong, Aviv Gibali","doi":"10.1080/02331934.2024.2341942","DOIUrl":"https://doi.org/10.1080/02331934.2024.2341942","url":null,"abstract":"We consider the state-dependent maximal monotone inclusion problem and propose forward-backward splitting algorithms for solving it. Strong convergence of the proposed algorithms is established und...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":"62 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-04-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140624769","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 maximal monotone operators in Hadamard spaces 论哈达玛德空间中的最大单调算子
IF 2.2 3区 数学
Optimization Pub Date : 2024-04-17 DOI: 10.1080/02331934.2024.2341940
Ali Moslemipour, Mehdi Roohi, Jen-Chih Yao
{"title":"On the maximal monotone operators in Hadamard spaces","authors":"Ali Moslemipour, Mehdi Roohi, Jen-Chih Yao","doi":"10.1080/02331934.2024.2341940","DOIUrl":"https://doi.org/10.1080/02331934.2024.2341940","url":null,"abstract":"In this paper, some topics of monotone operator theory in the setting of Hadamard spaces are investigated. For a fixed element p in a Hadamard space X, the notion of p-Fenchel conjugate is introduc...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":"27 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-04-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140613963","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 reconsideration on convergence of the extra-gradient method for solving quasimonotone variational inequalities 重新考虑求解准单调变分不等式的梯度外方法的收敛性
IF 2.2 3区 数学
Optimization Pub Date : 2024-04-12 DOI: 10.1080/02331934.2024.2341941
Li-Jun Zhu, Tzu-Chien Yin
{"title":"A reconsideration on convergence of the extra-gradient method for solving quasimonotone variational inequalities","authors":"Li-Jun Zhu, Tzu-Chien Yin","doi":"10.1080/02331934.2024.2341941","DOIUrl":"https://doi.org/10.1080/02331934.2024.2341941","url":null,"abstract":"In this paper, we continue to investigate convergence of the extra-gradient method for solving quasimonotone variational inequalities in Hilbert spaces. Under some suitable conditions, we prove tha...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":"58 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-04-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140573465","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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