{"title":"非膨胀非自映射的粘性近似新方法","authors":"Chao Liu, Meimei Song","doi":"10.4236/IJMNTA.2016.52011","DOIUrl":null,"url":null,"abstract":"In this paper, to find the fixed \npoints of the nonexpansive nonself-mappings, we introduced two new viscosity \napproximation methods, and then we prove the iterative sequences defined by \nabove viscosity approximation methods which converge strongly to the fixed \npoints of nonexpansive nonself-mappings. The results presented in this paper \nextend and improve the results of Song-Chen [1] and Song-Li [2].","PeriodicalId":69680,"journal":{"name":"现代非线性理论与应用(英文)","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2016-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"The New Viscosity Approximation Methods for Nonexpansive Nonself-Mappings\",\"authors\":\"Chao Liu, Meimei Song\",\"doi\":\"10.4236/IJMNTA.2016.52011\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, to find the fixed \\npoints of the nonexpansive nonself-mappings, we introduced two new viscosity \\napproximation methods, and then we prove the iterative sequences defined by \\nabove viscosity approximation methods which converge strongly to the fixed \\npoints of nonexpansive nonself-mappings. The results presented in this paper \\nextend and improve the results of Song-Chen [1] and Song-Li [2].\",\"PeriodicalId\":69680,\"journal\":{\"name\":\"现代非线性理论与应用(英文)\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2016-06-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"现代非线性理论与应用(英文)\",\"FirstCategoryId\":\"1093\",\"ListUrlMain\":\"https://doi.org/10.4236/IJMNTA.2016.52011\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"现代非线性理论与应用(英文)","FirstCategoryId":"1093","ListUrlMain":"https://doi.org/10.4236/IJMNTA.2016.52011","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The New Viscosity Approximation Methods for Nonexpansive Nonself-Mappings
In this paper, to find the fixed
points of the nonexpansive nonself-mappings, we introduced two new viscosity
approximation methods, and then we prove the iterative sequences defined by
above viscosity approximation methods which converge strongly to the fixed
points of nonexpansive nonself-mappings. The results presented in this paper
extend and improve the results of Song-Chen [1] and Song-Li [2].
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