{"title":"(φ-ψ)-弱收缩的最佳邻近点及一些应用","authors":"K. Fallahi, G. Rad, A. Fulga","doi":"10.2298/fil2306835f","DOIUrl":null,"url":null,"abstract":"The principal goal of this paper is to express the existence and uniqueness of the best proximity point for a comprehensive contractive non-self mapping in partially ordered metric spaces. The main result covers a lot of former well-known theorems in related to best proximity point. Moreover, as an interesting application, integral versions of main theorem are obtained.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":"1 1","pages":""},"PeriodicalIF":0.8000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Best proximity points for (φ-ψ)-weak contractions and some applications\",\"authors\":\"K. Fallahi, G. Rad, A. Fulga\",\"doi\":\"10.2298/fil2306835f\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The principal goal of this paper is to express the existence and uniqueness of the best proximity point for a comprehensive contractive non-self mapping in partially ordered metric spaces. The main result covers a lot of former well-known theorems in related to best proximity point. Moreover, as an interesting application, integral versions of main theorem are obtained.\",\"PeriodicalId\":12305,\"journal\":{\"name\":\"Filomat\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2023-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Filomat\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.2298/fil2306835f\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Filomat","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.2298/fil2306835f","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
Best proximity points for (φ-ψ)-weak contractions and some applications
The principal goal of this paper is to express the existence and uniqueness of the best proximity point for a comprehensive contractive non-self mapping in partially ordered metric spaces. The main result covers a lot of former well-known theorems in related to best proximity point. Moreover, as an interesting application, integral versions of main theorem are obtained.