{"title":"赫格杜斯-齐拉吉定点定理的注释与推广","authors":"Y. Touail, D. Moutawakil","doi":"10.1134/s1063454124010138","DOIUrl":null,"url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>A new generalization of the so-called Hegedüs–Szilágyi fixed point theorem is given by introducing a new contractive condition in the framework of complete metric spaces. As an application, we get a new fixed point theorem that generalizes and improves many known results in the literature.</p>","PeriodicalId":43418,"journal":{"name":"Vestnik St Petersburg University-Mathematics","volume":"77 1","pages":""},"PeriodicalIF":0.4000,"publicationDate":"2024-04-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Remarks and a Generalization of the Hegedüs–Szilágyi Fixed Point Theorem\",\"authors\":\"Y. Touail, D. Moutawakil\",\"doi\":\"10.1134/s1063454124010138\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<h3 data-test=\\\"abstract-sub-heading\\\">Abstract</h3><p>A new generalization of the so-called Hegedüs–Szilágyi fixed point theorem is given by introducing a new contractive condition in the framework of complete metric spaces. As an application, we get a new fixed point theorem that generalizes and improves many known results in the literature.</p>\",\"PeriodicalId\":43418,\"journal\":{\"name\":\"Vestnik St Petersburg University-Mathematics\",\"volume\":\"77 1\",\"pages\":\"\"},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2024-04-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Vestnik St Petersburg University-Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1134/s1063454124010138\",\"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":"Vestnik St Petersburg University-Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1134/s1063454124010138","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
Remarks and a Generalization of the Hegedüs–Szilágyi Fixed Point Theorem
Abstract
A new generalization of the so-called Hegedüs–Szilágyi fixed point theorem is given by introducing a new contractive condition in the framework of complete metric spaces. As an application, we get a new fixed point theorem that generalizes and improves many known results in the literature.
期刊介绍：
Vestnik St. Petersburg University, Mathematics is a journal that publishes original contributions in all areas of fundamental and applied mathematics. It is the prime outlet for the findings of scientists from the Faculty of Mathematics and Mechanics of St. Petersburg State University. Articles of the journal cover the major areas of fundamental and applied mathematics. The following are the main subject headings: Mathematical Analysis; Higher Algebra and Numbers Theory; Higher Geometry; Differential Equations; Mathematical Physics; Computational Mathematics and Numerical Analysis; Statistical Simulation; Theoretical Cybernetics; Game Theory; Operations Research; Theory of Probability and Mathematical Statistics, and Mathematical Problems of Mechanics and Astronomy.
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