Zhongbing Xie, Gang Cai, Xiaoxiao Li, Qiao-Li Dong
{"title":"解决希尔伯特空间伪单调变分不等式问题的双投影曾外梯度法","authors":"Zhongbing Xie, Gang Cai, Xiaoxiao Li, Qiao-Li Dong","doi":"10.1007/s40314-024-02698-3","DOIUrl":null,"url":null,"abstract":"<p>The aim of this paper is to investigate an accelerated Tseng’s extragradient method with double projection for solving Lipschitzian and pseudomonotone variational inequalities in real Hilbert spaces. A strong convergence theorem of the proposed algorithm is obtained under some appropriate assumptions imposed on the parameters. Finally, we give some numerical examples to demonstrate the performance of our algorithm.</p>","PeriodicalId":51278,"journal":{"name":"Computational and Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":2.6000,"publicationDate":"2024-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Tseng’s extragradient method with double projection for solving pseudomonotone variational inequality problems in Hilbert spaces\",\"authors\":\"Zhongbing Xie, Gang Cai, Xiaoxiao Li, Qiao-Li Dong\",\"doi\":\"10.1007/s40314-024-02698-3\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>The aim of this paper is to investigate an accelerated Tseng’s extragradient method with double projection for solving Lipschitzian and pseudomonotone variational inequalities in real Hilbert spaces. A strong convergence theorem of the proposed algorithm is obtained under some appropriate assumptions imposed on the parameters. Finally, we give some numerical examples to demonstrate the performance of our algorithm.</p>\",\"PeriodicalId\":51278,\"journal\":{\"name\":\"Computational and Applied Mathematics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":2.6000,\"publicationDate\":\"2024-04-10\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Computational and Applied Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1007/s40314-024-02698-3\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Computational and Applied Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1007/s40314-024-02698-3","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Tseng’s extragradient method with double projection for solving pseudomonotone variational inequality problems in Hilbert spaces
The aim of this paper is to investigate an accelerated Tseng’s extragradient method with double projection for solving Lipschitzian and pseudomonotone variational inequalities in real Hilbert spaces. A strong convergence theorem of the proposed algorithm is obtained under some appropriate assumptions imposed on the parameters. Finally, we give some numerical examples to demonstrate the performance of our algorithm.
期刊介绍:
Computational & Applied Mathematics began to be published in 1981. This journal was conceived as the main scientific publication of SBMAC (Brazilian Society of Computational and Applied Mathematics).
The objective of the journal is the publication of original research in Applied and Computational Mathematics, with interfaces in Physics, Engineering, Chemistry, Biology, Operations Research, Statistics, Social Sciences and Economy. The journal has the usual quality standards of scientific international journals and we aim high level of contributions in terms of originality, depth and relevance.