Work

Notes on 2-Normed Spaces Through Their Quotient Spaces

Year: 2025

Type: article

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.

Source: CAUCHY Jurnal Matematika Murni dan Aplikasi

DOI: 10.18860/cauchy.v10i2.35824

Authors: Francis Yunito Rumlawang, Hernita Hernita, Yopi Andry Lesnussa, Harmanus Batkunde

Institution: Universitas Pattimura

Language: English

Topic: Fixed Point Theorems Analysis

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $110

OpenAlex ID: W4416687908

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