{"title":"Suzuki type fuzzy Z-contractive mappings and fixed points in fuzzy metric spaces","authors":"D. Gopal, J. Martínez-Moreno","doi":"10.14736/kyb-2021-6-0908","DOIUrl":null,"url":null,"abstract":"In this paper, we propose the concept of Suzuki type fuzzy Z -contractive mappings, which is a generalization of Fuzzy Z -contractive mappings initiated in the article [S. Shukla, D. Gopal, W. Sintunavarat, A new class of fuzzy contractive mappings and fixed point theorems, Fuzzy Sets and Systems 350 (2018)85-95]. For this type of contractions suitable conditions are framed to ensure the existence of fixed point in G -complete as well as M -complete fuzzy metric spaces. A comprehensive set of examples are furnished to demonstrate the validity of the obtained results.","PeriodicalId":49928,"journal":{"name":"Kybernetika","volume":"47 1","pages":""},"PeriodicalIF":0.9000,"publicationDate":"2022-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Kybernetika","FirstCategoryId":"94","ListUrlMain":"https://doi.org/10.14736/kyb-2021-6-0908","RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"COMPUTER SCIENCE, CYBERNETICS","Score":null,"Total":0}
引用次数: 2
Abstract
In this paper, we propose the concept of Suzuki type fuzzy Z -contractive mappings, which is a generalization of Fuzzy Z -contractive mappings initiated in the article [S. Shukla, D. Gopal, W. Sintunavarat, A new class of fuzzy contractive mappings and fixed point theorems, Fuzzy Sets and Systems 350 (2018)85-95]. For this type of contractions suitable conditions are framed to ensure the existence of fixed point in G -complete as well as M -complete fuzzy metric spaces. A comprehensive set of examples are furnished to demonstrate the validity of the obtained results.
本文提出了Suzuki型模糊Z -压缩映射的概念，它是对文献[S]中提出的模糊Z -压缩映射的推广。Shukla, D. Gopal, W. Sintunavarat，一类新的模糊压缩映射和不动点定理，模糊集与系统(2018)85-95。对于这类压缩，给出了在G -完全模糊度量空间和M -完全模糊度量空间中不动点存在的适当条件。文中还提供了一组全面的实例来证明所得结果的有效性。
期刊介绍：
Kybernetika is the bi-monthly international journal dedicated for rapid publication of high-quality, peer-reviewed research articles in fields covered by its title. The journal is published by Nakladatelství Academia, Centre of Administration and Operations of the Czech Academy of Sciences for the Institute of Information Theory and Automation of The Czech Academy of Sciences.
Kybernetika traditionally publishes research results in the fields of Control Sciences, Information Sciences, Statistical Decision Making, Applied Probability Theory, Random Processes, Operations Research, Fuzziness and Uncertainty Theories, as well as in the topics closely related to the above fields.
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