{"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":"<div><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 \ndiscontinuous 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></div>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":"173 2","pages":"500 - 509"},"PeriodicalIF":0.6000,"publicationDate":"2024-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10474-024-01455-6.pdf","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta Mathematica Hungarica","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/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
Abstract
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.
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.
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