广义 Chatterjea 型映射的定点定理

IF 0.6 3区数学 Q3 MATHEMATICS

Acta Mathematica Hungarica Pub Date : 2024-08-08 DOI:10.1007/s10474-024-01455-6

C. M. Păcurar, O. Popescu

{"title":"广义 Chatterjea 型映射的定点定理","authors":"C. M. Păcurar, O. Popescu","doi":"10.1007/s10474-024-01455-6","DOIUrl":null,"url":null,"abstract":"<p>We introduce a new type of mappings in metric spaces which are\nthree-point analogue of the well-known Chatterjea type mappings, and call them\ngeneralized Chatterjea type mappings. It is shown that such mappings can be discontinuous as is the case of Chatterjea type mappings and this new class includes\nthe class of Chatterjea type mappings. The fixed point theorem for generalized\nChatterjea type mappings is proven.</p>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":null,"pages":null},"PeriodicalIF":0.6000,"publicationDate":"2024-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Fixed point theorem for generalized Chatterjea type mappings\",\"authors\":\"C. M. Păcurar, O. Popescu\",\"doi\":\"10.1007/s10474-024-01455-6\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>We introduce a new type of mappings in metric spaces which are\\nthree-point analogue of the well-known Chatterjea type mappings, and call them\\ngeneralized Chatterjea type mappings. It is shown that such mappings can be discontinuous as is the case of Chatterjea type mappings and this new class includes\\nthe class of Chatterjea type mappings. The fixed point theorem for generalized\\nChatterjea type mappings is proven.</p>\",\"PeriodicalId\":50894,\"journal\":{\"name\":\"Acta Mathematica Hungarica\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2024-08-08\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Acta Mathematica Hungarica\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1007/s10474-024-01455-6\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta Mathematica Hungarica","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s10474-024-01455-6","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 0

摘要

我们引入了度量空间中的一种新型映射，它是著名的查特列亚型映射的三点类似映射，我们称之为广义查特列亚型映射。研究表明，这类映射与 Chatterjea 型映射一样可以是不连续的，而且这一新类别包括 Chatterjea 型映射。证明了广义 Chatterjea 型映射的定点定理。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Fixed point theorem for generalized Chatterjea type mappings

We introduce a new type of mappings in metric spaces which are three-point analogue of the well-known Chatterjea type mappings, and call them generalized Chatterjea type mappings. It is shown that such mappings can be discontinuous as is the case of Chatterjea type mappings and this new class includes the class of Chatterjea type mappings. The fixed point theorem for generalized Chatterjea type mappings is proven.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Acta Mathematica Hungarica 数学-数学

CiteScore

1.50

自引率

11.10%

发文量

审稿时长

4-8 weeks

期刊介绍： Acta Mathematica Hungarica is devoted to publishing research articles of top quality in all areas of pure and applied mathematics as well as in theoretical computer science. The journal is published yearly in three volumes (two issues per volume, in total 6 issues) in both print and electronic formats. Acta Mathematica Hungarica (formerly Acta Mathematica Academiae Scientiarum Hungaricae) was founded in 1950 by the Hungarian Academy of Sciences.