{"title":"Fixed point theorems of enriched Ciric's type and enriched Hardy-Rogers contractions","authors":"None Anjali, Renu Chugh, Charu Batra","doi":"10.3934/naco.2023022","DOIUrl":null,"url":null,"abstract":"In this paper, we introduce enriched Ciric's type and enriched Hardy-Rogers contractions and prove fixed point theorems in Banach and convex metric spaces. We prove that Ciric's type and Hardy-Rogers contractions are unsaturated classes of mappings. We also study that Reich and Bianchini contractions are unsaturated classes of mappings. Additionally, we give some illustrations to demonstrate the effectiveness of our theoretical results.","PeriodicalId":44957,"journal":{"name":"Numerical Algebra Control and Optimization","volume":"69 1","pages":"0"},"PeriodicalIF":1.1000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Numerical Algebra Control and Optimization","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.3934/naco.2023022","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, we introduce enriched Ciric's type and enriched Hardy-Rogers contractions and prove fixed point theorems in Banach and convex metric spaces. We prove that Ciric's type and Hardy-Rogers contractions are unsaturated classes of mappings. We also study that Reich and Bianchini contractions are unsaturated classes of mappings. Additionally, we give some illustrations to demonstrate the effectiveness of our theoretical results.
期刊介绍：
Numerical Algebra, Control and Optimization (NACO) aims at publishing original papers on any non-trivial interplay between control and optimization, and numerical techniques for their underlying linear and nonlinear algebraic systems. Topics of interest to NACO include the following: original research in theory, algorithms and applications of optimization; numerical methods for linear and nonlinear algebraic systems arising in modelling, control and optimisation; and original theoretical and applied research and development in the control of systems including all facets of control theory and its applications. In the application areas, special interests are on artificial intelligence and data sciences. The journal also welcomes expository submissions on subjects of current relevance to readers of the journal. The publication of papers in NACO is free of charge.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
