{"title":"Banach空间中伪单调变分不等式问题解的强收敛性","authors":"Xin Chang, Muyuan Liu, Liang Yan","doi":"10.12988/ams.2023.917391","DOIUrl":null,"url":null,"abstract":"In this paper, based on the line-search technique, an iteration method to solve pseudomonotone variational inequality problem in 2-uniformly convex Banach spaces is introduced. The iteration scheme presented in this paper is proved to converge strongly to a solution of the pseudomonotone variational inequality problem. Our result extends the main result in [4]","PeriodicalId":3,"journal":{"name":"ACS Applied Electronic Materials","volume":null,"pages":null},"PeriodicalIF":4.3000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The strong convergence for solutions of pseudomonotone variational inequality problem in Banach spaces\",\"authors\":\"Xin Chang, Muyuan Liu, Liang Yan\",\"doi\":\"10.12988/ams.2023.917391\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, based on the line-search technique, an iteration method to solve pseudomonotone variational inequality problem in 2-uniformly convex Banach spaces is introduced. The iteration scheme presented in this paper is proved to converge strongly to a solution of the pseudomonotone variational inequality problem. Our result extends the main result in [4]\",\"PeriodicalId\":3,\"journal\":{\"name\":\"ACS Applied Electronic Materials\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":4.3000,\"publicationDate\":\"2023-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"ACS Applied Electronic Materials\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.12988/ams.2023.917391\",\"RegionNum\":3,\"RegionCategory\":\"材料科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"ENGINEERING, ELECTRICAL & ELECTRONIC\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"ACS Applied Electronic Materials","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.12988/ams.2023.917391","RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, ELECTRICAL & ELECTRONIC","Score":null,"Total":0}
The strong convergence for solutions of pseudomonotone variational inequality problem in Banach spaces
In this paper, based on the line-search technique, an iteration method to solve pseudomonotone variational inequality problem in 2-uniformly convex Banach spaces is introduced. The iteration scheme presented in this paper is proved to converge strongly to a solution of the pseudomonotone variational inequality problem. Our result extends the main result in [4]