{"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":"05 1","pages":"104-113"},"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}
引用次数: 2
Abstract
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].