TY - JOUR AU - Batkunde, H. AU - Gunawan, H. PY - 2020/06/24 Y2 - 2024/03/29 TI - A Revisit to n-Normed Spaces Through Its Quotient Spaces JF - Matematychni Studii JA - Mat. Stud. VL - 53 IS - 2 SE - Articles DO - 10.30970/ms.53.2.181-191 UR - http://matstud.org.ua/ojs/index.php/matstud/article/view/18 SP - 181-191 AB - In this paper, we define several types of continuous mapping in $n$-normed spaces with respect to the norms of its quotient spaces. Then, we show that all types of the continuity are equivalent. We also study contractive mappings on $n$-normed spaces using these norms. In particular, we prove a fixed point theorem for contractive mappings on a closed and bounded set in the $n$-normed space with respect to the norms of its quotient spaces.In the last section we prove a fixed point theorem and give some remarks on the $p$-summable sequence space as an $n$-normed space. ER -