{"title":"Fixed Point Result in Controlled Fuzzy Metric Spaces with Application to Dynamic Market Equilibrium","authors":"R. Tiwari, V. Rakočević, S. Rajput","doi":"10.21203/rs.3.rs-735573/v1","DOIUrl":null,"url":null,"abstract":"\n In this paper, inspired by the work of Muzeyyen Sangurlu Sezen [22] and H. Saleh Nasr et al. [20], we introduce ʘf -type controlled fuzzy metric spaces and establish some fixed point results in controlled fuzzy metric spaces. We provide suitable examples to validate our result. We also employ an application to substantiate the utility of our established result for fiding the unique solution of an integral equation emerging in the dynamic market equilibrium aspects to economics.Subject Classification: 54H25, 47H10, A11.","PeriodicalId":49928,"journal":{"name":"Kybernetika","volume":"108 1","pages":""},"PeriodicalIF":0.9000,"publicationDate":"2021-10-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Kybernetika","FirstCategoryId":"94","ListUrlMain":"https://doi.org/10.21203/rs.3.rs-735573/v1","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: 0
Abstract
In this paper, inspired by the work of Muzeyyen Sangurlu Sezen [22] and H. Saleh Nasr et al. [20], we introduce ʘf -type controlled fuzzy metric spaces and establish some fixed point results in controlled fuzzy metric spaces. We provide suitable examples to validate our result. We also employ an application to substantiate the utility of our established result for fiding the unique solution of an integral equation emerging in the dynamic market equilibrium aspects to economics.Subject Classification: 54H25, 47H10, A11.
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.