{"title":"在有序对偶偏度量空间中存在不动点","authors":"Muhammad Nazam, Muhammad Arshad","doi":"10.1016/j.trmi.2018.01.003","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper, we introduce dominating dualistic contractive mappings and dominating weakly dualistic contractive mappings. We use these contractive mappings to establish two new fixed point theorems in an ordered dualistic partial metric space. These results generalize various comparable results existing in the current literature. We give examples to illustrate and to show usefulness of our results among corresponding fixed point theorems established in a partial metric space and a metric space.</p></div>","PeriodicalId":43623,"journal":{"name":"Transactions of A Razmadze Mathematical Institute","volume":"172 3","pages":"Pages 498-509"},"PeriodicalIF":0.3000,"publicationDate":"2018-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.trmi.2018.01.003","citationCount":"3","resultStr":"{\"title\":\"Some fixed point results in ordered dualistic partial metric spaces\",\"authors\":\"Muhammad Nazam, Muhammad Arshad\",\"doi\":\"10.1016/j.trmi.2018.01.003\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In this paper, we introduce dominating dualistic contractive mappings and dominating weakly dualistic contractive mappings. We use these contractive mappings to establish two new fixed point theorems in an ordered dualistic partial metric space. These results generalize various comparable results existing in the current literature. We give examples to illustrate and to show usefulness of our results among corresponding fixed point theorems established in a partial metric space and a metric space.</p></div>\",\"PeriodicalId\":43623,\"journal\":{\"name\":\"Transactions of A Razmadze Mathematical Institute\",\"volume\":\"172 3\",\"pages\":\"Pages 498-509\"},\"PeriodicalIF\":0.3000,\"publicationDate\":\"2018-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/j.trmi.2018.01.003\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Transactions of A Razmadze Mathematical Institute\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S2346809217301447\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Transactions of A Razmadze Mathematical Institute","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2346809217301447","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
Some fixed point results in ordered dualistic partial metric spaces
In this paper, we introduce dominating dualistic contractive mappings and dominating weakly dualistic contractive mappings. We use these contractive mappings to establish two new fixed point theorems in an ordered dualistic partial metric space. These results generalize various comparable results existing in the current literature. We give examples to illustrate and to show usefulness of our results among corresponding fixed point theorems established in a partial metric space and a metric space.