Muhammad Akmal, Muhammad Saqib Khan, Shahzad Ahmad Maitla
{"title":"渐近非扩张映射变分不等式逼近解的黏性方法","authors":"Muhammad Akmal, Muhammad Saqib Khan, Shahzad Ahmad Maitla","doi":"10.30538/PSRP-OMA2018.0015","DOIUrl":null,"url":null,"abstract":"The aim of this paper is to present a viscosity approximation method for asymptotically nonexpansive mappings in Banach spaces. The strong convergence of the viscosity rules is proved with some assumptions. This paper extend and improve results presented in [1, 2, 3, 4]. Mathematics Subject Classification: 47J25, 47N20, 34G20, 65J15.","PeriodicalId":52741,"journal":{"name":"Open Journal of Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2018-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Viscosity Methods for Approximating Solutions of Variational Inequalities for Asymptotically Nonexpansive Mappings\",\"authors\":\"Muhammad Akmal, Muhammad Saqib Khan, Shahzad Ahmad Maitla\",\"doi\":\"10.30538/PSRP-OMA2018.0015\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The aim of this paper is to present a viscosity approximation method for asymptotically nonexpansive mappings in Banach spaces. The strong convergence of the viscosity rules is proved with some assumptions. This paper extend and improve results presented in [1, 2, 3, 4]. Mathematics Subject Classification: 47J25, 47N20, 34G20, 65J15.\",\"PeriodicalId\":52741,\"journal\":{\"name\":\"Open Journal of Mathematical Analysis\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-12-31\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Open Journal of Mathematical Analysis\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.30538/PSRP-OMA2018.0015\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Open Journal of Mathematical Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.30538/PSRP-OMA2018.0015","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Viscosity Methods for Approximating Solutions of Variational Inequalities for Asymptotically Nonexpansive Mappings
The aim of this paper is to present a viscosity approximation method for asymptotically nonexpansive mappings in Banach spaces. The strong convergence of the viscosity rules is proved with some assumptions. This paper extend and improve results presented in [1, 2, 3, 4]. Mathematics Subject Classification: 47J25, 47N20, 34G20, 65J15.