Abstract
In this article, we research on the properties of the floor of an element taken from an inner product quasilinear space. We prove some theorems related to this new concept. Further, we try to explore some new results in quasilinear functional analysis. Also, some examples have been given which provide an important information about the properties of floor of an inner product quasilinear space.
Highlights
Aseev (1986) introduced the theory of quasilinear space which is generalization of classical linear spaces. He used the partial order relation when he defined the quasilinear spaces and so he can give consistent counterparts of results in linear spaces. He described the convergence of sequences and norm in quasilinear space
This work has inspired a lot of authors to introduce new results on multivalued mappings, fuzzy quasilinear operators and set-valued analysis (Lakshmikantham, Gnana Bhaskar, & Vasundhara Devi, 2006; Rojas-Medar, Jiménez-Gamerob, Chalco-Canoa, & Viera-Brandão, 2005)
This work has motivated us to introduce some results about the floors of inner product quasilinear spaces, briefly, IPQLS
Summary
Aseev (1986) introduced the theory of quasilinear space (briefly, QLSs) which is generalization of classical linear spaces. We give some results related to floors of inner product quasilinear spaces.
Sign-in/Register to view highlights & summary 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.
