Pub Date : 2024-05-27DOI: 10.1080/02331934.2024.2358404
Rashmi Kumari, C. Nahak
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...
{"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}
Pub Date : 2024-05-27DOI: 10.1080/02331934.2024.2358086
Kuang Bai, Jane J. Ye, Shangzhi Zeng
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...
{"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}
Pub Date : 2024-04-30DOI: 10.1080/02331934.2024.2345763
Le Xuan Ly, Nguyen Thi Thu Thuy, Tran Thanh Tung
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 ...
本文介绍了两种新颖的两步惯性和自适应步长算法，用于求解分裂凸可行性解集上的强单调变分不等式。
{"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}
Pub Date : 2024-04-29DOI: 10.1080/02331934.2024.2347973
Alexander J. Zaslavski
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...
{"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}
Pub Date : 2024-04-29DOI: 10.1080/02331934.2024.2345356
Wei Ni
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...
{"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}
Pub Date : 2024-04-29DOI: 10.1080/02331934.2024.2345397
Wenhao Fu, Zhongwen Chen
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 ...
{"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}
Pub Date : 2024-04-26DOI: 10.1080/02331934.2024.2345395
Zehui Jia, Junru Hou, Zhichao Shi, Suyun Yue
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...
{"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}
Pub Date : 2024-04-19DOI: 10.1080/02331934.2024.2341942
Xiaoxiao Li, Qiao-Li Dong, Aviv Gibali
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...
{"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}
Pub Date : 2024-04-17DOI: 10.1080/02331934.2024.2341940
Ali Moslemipour, Mehdi Roohi, Jen-Chih Yao
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...
本文研究了哈达玛空间中单调算子理论的一些课题。对于哈达玛空间 X 中的固定元素 p，引入了 p-Fenchel 共轭的概念。
{"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}
Pub Date : 2024-04-12DOI: 10.1080/02331934.2024.2341941
Li-Jun Zhu, Tzu-Chien Yin
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...
{"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}
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