T. Laokul, B. Panyanak, N. Phudolsitthiphat, S. Suantai
{"title":"\"Common endpoints of generalized Suzuki-Kannan-C´ iric´ type mappings in hyperbolic spaces\"","authors":"T. Laokul, B. Panyanak, N. Phudolsitthiphat, S. Suantai","doi":"10.37193/cjm.2022.02.14","DOIUrl":null,"url":null,"abstract":"\"In this paper, we introduce the concept of generalized Suzuki-Kannan-C´ iric´ type mappings in metric spaces and show that it is weaker than the concept of Suzuki-Kannan-C´ iric´ type mappings but stronger than the concept of semi-nonexpansive mappings. Moreover, we obtain the semiclosed principle and endpoint theorems for the class of generalized Suzuki-Kannan-C´ iric´ type mappings. The strong and Δ−convergence theorems of the Kuhfitting iteration for this class of mappings are also discussed.\"","PeriodicalId":50711,"journal":{"name":"Carpathian Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.4000,"publicationDate":"2022-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Carpathian Journal of Mathematics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.37193/cjm.2022.02.14","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
"In this paper, we introduce the concept of generalized Suzuki-Kannan-C´ iric´ type mappings in metric spaces and show that it is weaker than the concept of Suzuki-Kannan-C´ iric´ type mappings but stronger than the concept of semi-nonexpansive mappings. Moreover, we obtain the semiclosed principle and endpoint theorems for the class of generalized Suzuki-Kannan-C´ iric´ type mappings. The strong and Δ−convergence theorems of the Kuhfitting iteration for this class of mappings are also discussed."
期刊介绍:
Carpathian Journal of Mathematics publishes high quality original research papers and survey articles in all areas of pure and applied mathematics. It will also occasionally publish, as special issues, proceedings of international conferences, generally (co)-organized by the Department of Mathematics and Computer Science, North University Center at Baia Mare. There is no fee for the published papers but the journal offers an Open Access Option to interested contributors.