{"title":"Karapinar定理的一些新推广","authors":"Ing-Jer Lin, Ya-Ling Chang","doi":"10.12988/IJMA.2014.45127","DOIUrl":null,"url":null,"abstract":"In-depth study of fixed point theory is to solve the existence of the equation Tx = x (or x ∈ T (x)), where T is a self-map or a non-self-map. However, as we know, the equation Tx = x (or x ∈ T (x)) is not necessarily to have a solution. So, we turn to explore the best approximation of the existence of solutions. In 2003, Kirk-Srinavasan-Veeramani [1] introduced cyclic maps and best proximity points. Many new results on cyclic maps have been obtained in the literature, see e.g. [2-11].","PeriodicalId":431531,"journal":{"name":"International Journal of Mathematical Analysis","volume":"30 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"10","resultStr":"{\"title\":\"Some new generalizations of Karapinar's theorems\",\"authors\":\"Ing-Jer Lin, Ya-Ling Chang\",\"doi\":\"10.12988/IJMA.2014.45127\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In-depth study of fixed point theory is to solve the existence of the equation Tx = x (or x ∈ T (x)), where T is a self-map or a non-self-map. However, as we know, the equation Tx = x (or x ∈ T (x)) is not necessarily to have a solution. So, we turn to explore the best approximation of the existence of solutions. In 2003, Kirk-Srinavasan-Veeramani [1] introduced cyclic maps and best proximity points. Many new results on cyclic maps have been obtained in the literature, see e.g. [2-11].\",\"PeriodicalId\":431531,\"journal\":{\"name\":\"International Journal of Mathematical Analysis\",\"volume\":\"30 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"10\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Mathematical Analysis\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.12988/IJMA.2014.45127\",\"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 Mathematical Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12988/IJMA.2014.45127","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
In-depth study of fixed point theory is to solve the existence of the equation Tx = x (or x ∈ T (x)), where T is a self-map or a non-self-map. However, as we know, the equation Tx = x (or x ∈ T (x)) is not necessarily to have a solution. So, we turn to explore the best approximation of the existence of solutions. In 2003, Kirk-Srinavasan-Veeramani [1] introduced cyclic maps and best proximity points. Many new results on cyclic maps have been obtained in the literature, see e.g. [2-11].
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
