{"title":"结合弱收缩与Caristi收缩映射的不动点定理","authors":"K. Roy, Sayantan Panja, M. Saha, Z. Mitrović","doi":"10.2478/amsil-2021-0003","DOIUrl":null,"url":null,"abstract":"Abstract In this paper we introduce some new types of contractive mappings by combining Caristi contraction, Ćirić-quasi contraction and weak contraction in the framework of a metric space. We prove some fixed point theorems for such type of mappings over complete metric spaces with the help of φ-diminishing property. Some examples are given in strengthening the hypothesis of our established theorems.","PeriodicalId":52359,"journal":{"name":"Annales Mathematicae Silesianae","volume":"35 1","pages":"289 - 301"},"PeriodicalIF":0.4000,"publicationDate":"2021-04-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Some Fixed Point Theorems Via Combination of Weak Contraction and Caristi Contractive Mapping\",\"authors\":\"K. Roy, Sayantan Panja, M. Saha, Z. Mitrović\",\"doi\":\"10.2478/amsil-2021-0003\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract In this paper we introduce some new types of contractive mappings by combining Caristi contraction, Ćirić-quasi contraction and weak contraction in the framework of a metric space. We prove some fixed point theorems for such type of mappings over complete metric spaces with the help of φ-diminishing property. Some examples are given in strengthening the hypothesis of our established theorems.\",\"PeriodicalId\":52359,\"journal\":{\"name\":\"Annales Mathematicae Silesianae\",\"volume\":\"35 1\",\"pages\":\"289 - 301\"},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2021-04-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Annales Mathematicae Silesianae\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2478/amsil-2021-0003\",\"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":"Annales Mathematicae Silesianae","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2478/amsil-2021-0003","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
Some Fixed Point Theorems Via Combination of Weak Contraction and Caristi Contractive Mapping
Abstract In this paper we introduce some new types of contractive mappings by combining Caristi contraction, Ćirić-quasi contraction and weak contraction in the framework of a metric space. We prove some fixed point theorems for such type of mappings over complete metric spaces with the help of φ-diminishing property. Some examples are given in strengthening the hypothesis of our established theorems.