eprintid: 43782
rev_number: 10
eprint_status: archive
userid: 12259
dir: disk0/00/04/37/82
datestamp: 2021-09-03 12:24:02
lastmod: 2021-09-03 12:24:02
status_changed: 2021-09-03 12:24:02
type: thesis
metadata_visibility: show
creators_name: JULITA SARI, NIM. 17106010033
title: KESAMAAN TOPOLOGI DI RUANG BERNORMA DAN RUANG BERNORMA-G
ispublished: pub
subjects: Matematika
divisions: jur_mat
full_text_status: restricted
keywords: G-Normed Space, G-Metric Space, Topology
note: Malahayati, S.Si., M.Sc
abstract: G-normed space was first introduced by Kamran Alam Khan (2014). A G-normed space is a vector space equipped with a G-norm function fulfilling five axioms. G-normed space is a special case of normed linear space with the definition of a certain norm function, so that every concept, meaning and characteristics that apply in normalized space also applies to G-normed space.
Previous researchers mentioned that the G-normed space is an generalization of the normed linear space. However, this study shows that the topology in G-normed space is the same as the topology in normed linear space. The process of constructing topological similarities is carried out by showing that the basis for the topology in G-normed space is the same as the basis for the topology in normed linear space. This results in the topology in G-normed space same as the topology in normed linear space. Therefore the G-normed space is not an generalization of the normed linear space.
date: 2021-05-11
date_type: published
pages: 71
institution: FAKULTAS SAINS DAN TEKNOLOGI
department: UIN SUNAN KALIJAGA YOGYAKARTA
thesis_type: skripsi
thesis_name: other
citation:   JULITA SARI, NIM. 17106010033  (2021) KESAMAAN TOPOLOGI DI RUANG BERNORMA DAN RUANG BERNORMA-G.  Skripsi thesis, FAKULTAS SAINS DAN TEKNOLOGI.   
document_url: https://digilib.uin-suka.ac.id/id/eprint/43782/1/17106010033_BAB-I_IV-atau-V_DAFTAR-PUSTAKA.pdf
document_url: https://digilib.uin-suka.ac.id/id/eprint/43782/2/17106010033_BAB-II_sampai_SEBELUM-BAB-TERAKHIR.pdf