{"title":"新的多值收缩与固定圆问题","authors":"Nihal Taş, Nihal Özgür","doi":"10.1007/s13370-025-01332-7","DOIUrl":null,"url":null,"abstract":"<div><p>A recent problem, the fixed-circle problem, deals with the geometric properties of the fixed points of a self-mapping (on metric or generalized metric spaces). In this paper, we consider this problem for the multivalued case. We obtain new fixed-circle results on metric spaces by means of the multivalued mappings. We introduce new multivalued contractions using Wardowski’s technique and obtain new fixed-circle results with some applications to integral type contractions. We provide necessary illustrative examples in order to support the validity of our obtained results.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 3","pages":""},"PeriodicalIF":0.7000,"publicationDate":"2025-06-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"New multivalued contractions and the fixed-circle problem\",\"authors\":\"Nihal Taş, Nihal Özgür\",\"doi\":\"10.1007/s13370-025-01332-7\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>A recent problem, the fixed-circle problem, deals with the geometric properties of the fixed points of a self-mapping (on metric or generalized metric spaces). In this paper, we consider this problem for the multivalued case. We obtain new fixed-circle results on metric spaces by means of the multivalued mappings. We introduce new multivalued contractions using Wardowski’s technique and obtain new fixed-circle results with some applications to integral type contractions. We provide necessary illustrative examples in order to support the validity of our obtained results.</p></div>\",\"PeriodicalId\":46107,\"journal\":{\"name\":\"Afrika Matematika\",\"volume\":\"36 3\",\"pages\":\"\"},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2025-06-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Afrika Matematika\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s13370-025-01332-7\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Afrika Matematika","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1007/s13370-025-01332-7","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
New multivalued contractions and the fixed-circle problem
A recent problem, the fixed-circle problem, deals with the geometric properties of the fixed points of a self-mapping (on metric or generalized metric spaces). In this paper, we consider this problem for the multivalued case. We obtain new fixed-circle results on metric spaces by means of the multivalued mappings. We introduce new multivalued contractions using Wardowski’s technique and obtain new fixed-circle results with some applications to integral type contractions. We provide necessary illustrative examples in order to support the validity of our obtained results.
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