{"title":"Remotest Points and Best Proximity Points in Metric Spaces","authors":"M. A. Baseri, H. Mazaheri","doi":"10.13189/UJAM.2019.070401","DOIUrl":null,"url":null,"abstract":"In this paper, we give sufficient conditions for the existence of remotest points with recurrence relations. Then, we apply these relations to generalize recent best proximity point theorems. The findings of the present research contribute and enrich previous results reviewed in the literature.","PeriodicalId":372283,"journal":{"name":"Universal Journal of Applied Mathematics","volume":"24 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Universal Journal of Applied Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.13189/UJAM.2019.070401","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, we give sufficient conditions for the existence of remotest points with recurrence relations. Then, we apply these relations to generalize recent best proximity point theorems. The findings of the present research contribute and enrich previous results reviewed in the literature.
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