{"title":"关于邻近集的一些几何性质及最佳邻近点的存在性","authors":"Dr. S. Arul Ravi, A. Eldred","doi":"10.22377/AJMS.V4I1.253","DOIUrl":null,"url":null,"abstract":"The notion of proximal intersection property and diagonal property is introduced and used to establish some existence of the best proximity point for mappings satisfying contractive conditions.","PeriodicalId":102139,"journal":{"name":"Other Topics Engineering Research eJournal","volume":"35 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On Some Geometrical Properties of Proximal Sets and Existence of Best Proximity Points\",\"authors\":\"Dr. S. Arul Ravi, A. Eldred\",\"doi\":\"10.22377/AJMS.V4I1.253\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The notion of proximal intersection property and diagonal property is introduced and used to establish some existence of the best proximity point for mappings satisfying contractive conditions.\",\"PeriodicalId\":102139,\"journal\":{\"name\":\"Other Topics Engineering Research eJournal\",\"volume\":\"35 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-03-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Other Topics Engineering Research eJournal\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.22377/AJMS.V4I1.253\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Other Topics Engineering Research eJournal","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.22377/AJMS.V4I1.253","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On Some Geometrical Properties of Proximal Sets and Existence of Best Proximity Points
The notion of proximal intersection property and diagonal property is introduced and used to establish some existence of the best proximity point for mappings satisfying contractive conditions.
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