Abstract
In this paper, we introduce the new concepts of the best area of Banach system, Kannan system and Chatterjea system with degree s in b-metric spaces with constant s. We prove that the best area for Kannan-type system with degree s is and the best area for Chatterjea-type system with degree s is in the setting of b-metric spaces with constant s. Moreover, we prove a generalization of Chatterjea-type fixed point theorem with the contraction constant in b-metric spaces which generalizes known results related with Chatterjea-type mapping in the existing literature. Finally, an example is given to illustrate our results.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
