Abstract
In this paper, a comparative study of two types of norms on a linear space, namely gradual norm and fuzzy norm has been made and it is shown that they are equivalent in general. Because a gradual normed linear space is a locally convex space so a fuzzy normed linear space is also a locally convex space in classical sense. Therefore, most of results in classical locally convex spaces do hold in fuzzy normed linear spaces.
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.
