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All Journal CAUCHY: Jurnal Matematika Murni dan Aplikasi
Harmanus Batkunde
Pattimura University
Mathematics

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Notes on 2-Normed Spaces Through Their Quotient Spaces Francis Yunito Rumlawang; Hernita Hernita; Yopi Andry Lesnussa; Harmanus Batkunde
CAUCHY: Jurnal Matematika Murni dan Aplikasi Vol 10, No 2 (2025): CAUCHY: JURNAL MATEMATIKA MURNI DAN APLIKASI
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/cauchy.v10i2.35824

Abstract

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.
Co-Authors Hernita Hernita RUMLAWANG, FRANCIS YUNITO Yopi Andry Lesnussa