{"title":"A PROJECTION SUBGRADIENT ALGORITHM FOR FINDING A COMMON SOLUTION OF EQUILIBRIUM AND FIXED POINT PROBLEMS","authors":"Thang Tran Van","doi":"10.51453/2354-1431/2023/1033","DOIUrl":null,"url":null,"abstract":"In this paper, we design a new projection subgradient algorithm for finding a common solution of equilibrium and fixed point problems in a real Hilbert space. The proposed algorithm is a combination of the projection method, subgradient method and Man iterative technique. The convergent theorem is established under mild conditions.","PeriodicalId":158754,"journal":{"name":"SCIENTIFIC JOURNAL OF TAN TRAO UNIVERSITY","volume":"61 10","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-12-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"SCIENTIFIC JOURNAL OF TAN TRAO UNIVERSITY","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.51453/2354-1431/2023/1033","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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Abstract
In this paper, we design a new projection subgradient algorithm for finding a common solution of equilibrium and fixed point problems in a real Hilbert space. The proposed algorithm is a combination of the projection method, subgradient method and Man iterative technique. The convergent theorem is established under mild conditions.
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