{"title":"广义分裂可行性与不动点问题的一种通用迭代算法","authors":"J. Jung","doi":"10.23952/asvao.2.2020.2.05","DOIUrl":null,"url":null,"abstract":"In this paper, we introduce a general iterative algorithm based on the hybrid steepest descent method for finding a common element of the solution set of generalized split feasibility problem and the fixed point set of a continuous pseudocontractive mapping. We establish the strong convergence of the proposed iterative algorithm and find a minimum-norm element in the common set of the two sets in a Hilbert space.","PeriodicalId":362333,"journal":{"name":"Applied Set-Valued Analysis and Optimization","volume":"21 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"A general iterative algorithm for generalized split feasibility and fixed point problems\",\"authors\":\"J. Jung\",\"doi\":\"10.23952/asvao.2.2020.2.05\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we introduce a general iterative algorithm based on the hybrid steepest descent method for finding a common element of the solution set of generalized split feasibility problem and the fixed point set of a continuous pseudocontractive mapping. We establish the strong convergence of the proposed iterative algorithm and find a minimum-norm element in the common set of the two sets in a Hilbert space.\",\"PeriodicalId\":362333,\"journal\":{\"name\":\"Applied Set-Valued Analysis and Optimization\",\"volume\":\"21 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Applied Set-Valued Analysis and Optimization\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.23952/asvao.2.2020.2.05\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applied Set-Valued Analysis and Optimization","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.23952/asvao.2.2020.2.05","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A general iterative algorithm for generalized split feasibility and fixed point problems
In this paper, we introduce a general iterative algorithm based on the hybrid steepest descent method for finding a common element of the solution set of generalized split feasibility problem and the fixed point set of a continuous pseudocontractive mapping. We establish the strong convergence of the proposed iterative algorithm and find a minimum-norm element in the common set of the two sets in a Hilbert space.
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