{"title":"Ishikawa iterative process for variational inclusions with (H,η)-accretive operators in Banach spaces","authors":"Xianjun Yu, Jian-Ping Li, Guang-Qiang Xiao, Xing Chen","doi":"10.1109/ICACIA.2009.5361153","DOIUrl":null,"url":null,"abstract":"An Ishikawa iterative process for approximating the solution of a class of variational inclusions involving (H,η)-accretive operator in Banach spaces is developed by making use of the resolvent operator technique. The existence and uniqueness of solutions for the class of variational inclusions are proved and the convergence criteria of iterative process are also discussed.","PeriodicalId":423210,"journal":{"name":"2009 International Conference on Apperceiving Computing and Intelligence Analysis","volume":"50 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2009-12-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2009 International Conference on Apperceiving Computing and Intelligence Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICACIA.2009.5361153","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
An Ishikawa iterative process for approximating the solution of a class of variational inclusions involving (H,η)-accretive operator in Banach spaces is developed by making use of the resolvent operator technique. The existence and uniqueness of solutions for the class of variational inclusions are proved and the convergence criteria of iterative process are also discussed.