{"title":"Hilbert空间中Pemetaan非扩张、非扩展和混合映射的不动点定理","authors":"Firman Riansyah","doi":"10.31332/ijtk.v2i2.18","DOIUrl":null,"url":null,"abstract":"A Firmly nonexpansive mapping is a map which is closely related to equilibrium problems. Nonexpansive, nonspreading, and hybrid mappings are nonlinear mappings in Hilbert spaces. In this paper, we show the existence of a fixed point of nonexpansive, nonspreading, and hybrid mappings in Hilbert space using Banach limit.","PeriodicalId":126186,"journal":{"name":"International Journal of Transdisciplinary Knowledge","volume":"2011 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2021-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Fixed Point Theorems for Pemetaan Nonexpansive, Nonspreading, and Hybrid Mappings in Hilbert Space\",\"authors\":\"Firman Riansyah\",\"doi\":\"10.31332/ijtk.v2i2.18\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A Firmly nonexpansive mapping is a map which is closely related to equilibrium problems. Nonexpansive, nonspreading, and hybrid mappings are nonlinear mappings in Hilbert spaces. In this paper, we show the existence of a fixed point of nonexpansive, nonspreading, and hybrid mappings in Hilbert space using Banach limit.\",\"PeriodicalId\":126186,\"journal\":{\"name\":\"International Journal of Transdisciplinary Knowledge\",\"volume\":\"2011 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-12-31\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Transdisciplinary Knowledge\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.31332/ijtk.v2i2.18\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Transdisciplinary Knowledge","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.31332/ijtk.v2i2.18","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Fixed Point Theorems for Pemetaan Nonexpansive, Nonspreading, and Hybrid Mappings in Hilbert Space
A Firmly nonexpansive mapping is a map which is closely related to equilibrium problems. Nonexpansive, nonspreading, and hybrid mappings are nonlinear mappings in Hilbert spaces. In this paper, we show the existence of a fixed point of nonexpansive, nonspreading, and hybrid mappings in Hilbert space using Banach limit.