{"title":"Banach空间非紧子集中广义变分不等式系统的迭代格式","authors":"Ni Renxing","doi":"10.1109/CINC.2010.5643907","DOIUrl":null,"url":null,"abstract":"By the properties of the generalized f-projection operator,an iterative scheme for the system of generalized variational inequalities is proposed in non-compact subsets of Banach spaces, and new existence theorems and results of approximating solutions for the iterative algorithm are given in uniformly convex and uniformly smooth Banach spaces.","PeriodicalId":227004,"journal":{"name":"2010 Second International Conference on Computational Intelligence and Natural Computing","volume":"208 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2010-11-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Iterative scheme for the system of generalized variational inequalities in non-compact subsets of Banach spaces\",\"authors\":\"Ni Renxing\",\"doi\":\"10.1109/CINC.2010.5643907\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"By the properties of the generalized f-projection operator,an iterative scheme for the system of generalized variational inequalities is proposed in non-compact subsets of Banach spaces, and new existence theorems and results of approximating solutions for the iterative algorithm are given in uniformly convex and uniformly smooth Banach spaces.\",\"PeriodicalId\":227004,\"journal\":{\"name\":\"2010 Second International Conference on Computational Intelligence and Natural Computing\",\"volume\":\"208 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2010-11-22\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2010 Second International Conference on Computational Intelligence and Natural Computing\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CINC.2010.5643907\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2010 Second International Conference on Computational Intelligence and Natural Computing","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CINC.2010.5643907","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Iterative scheme for the system of generalized variational inequalities in non-compact subsets of Banach spaces
By the properties of the generalized f-projection operator,an iterative scheme for the system of generalized variational inequalities is proposed in non-compact subsets of Banach spaces, and new existence theorems and results of approximating solutions for the iterative algorithm are given in uniformly convex and uniformly smooth Banach spaces.