Notes on 2-Normed Spaces Through Their Quotient Spaces
In this paper, we defined new norms in 2-normed spaces derived from the 2-norm with respect to its quotient spaces. Moreover, these norms were used to observe some aspects of 2-normed spaces namely, a Convergent sequence, a Cauchy sequence, completeness, a closed set, and a bounded set. Furthermore, we used these aspects to prove the Fixed-Point Theorem in a 2-Banach Space.
Authors
- Francis Yunito Rumlawang
- Yopi Andry Lesnussa
- Harmanus Batkunde (ORCID: https://orcid.org/0000-0001-9471-0326)
- Hernita Hernita
Institutions
- University of Pattimura (ID)
Publication Details
- Journal
- CAUCHY Jurnal Matematika Murni dan Aplikasi
- Published
- 2025-11-26
- DOI
- https://doi.org/10.18860/cauchy.v10i2.35824
- Primary Topic
- Fixed Point Theorems Analysis
- Type
- article
- Field-Weighted Citation Impact
- 0.00