{"title":"希尔伯特空间中准无穷映射的并行方法","authors":"Koji Aoyama, Shigeru Iemoto","doi":"arxiv-2409.03242","DOIUrl":null,"url":null,"abstract":"This paper is devoted to the problem of finding a common fixed point of\nquasinonexpansive mappings defined on a Hilbert space. To approximate the\nsolution to this problem, we present several iterative processes using the\nparallel method based on Anh and Chung (2014) and Aoyama (2018).","PeriodicalId":501036,"journal":{"name":"arXiv - MATH - Functional Analysis","volume":"11 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Parallel methods for quasinonexpansive mappings in a Hilbert space\",\"authors\":\"Koji Aoyama, Shigeru Iemoto\",\"doi\":\"arxiv-2409.03242\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper is devoted to the problem of finding a common fixed point of\\nquasinonexpansive mappings defined on a Hilbert space. To approximate the\\nsolution to this problem, we present several iterative processes using the\\nparallel method based on Anh and Chung (2014) and Aoyama (2018).\",\"PeriodicalId\":501036,\"journal\":{\"name\":\"arXiv - MATH - Functional Analysis\",\"volume\":\"11 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-09-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - Functional Analysis\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2409.03242\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Functional Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.03242","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Parallel methods for quasinonexpansive mappings in a Hilbert space
This paper is devoted to the problem of finding a common fixed point of
quasinonexpansive mappings defined on a Hilbert space. To approximate the
solution to this problem, we present several iterative processes using the
parallel method based on Anh and Chung (2014) and Aoyama (2018).