Open AccessFixed Point Theorem on Contractive Mapping in Standard 2-Normed Spaces
Author(s) -
Salsabila Ammari,
Muh. Nur,
Naimah Aris
Publication year - 2021
Publication title -
jurnal matematika, statistika dan komputasi/jurnal matematika statistik dan komputasi
Language(s) - English
Resource type - Journals
eISSN - 2614-8811
pISSN - 1858-1382
DOI - 10.20956/j.v18i1.14394
Subject(s) - mathematics , norm (philosophy) , normed vector space , completeness (order theory) , dual norm , fixed point theorem , discrete mathematics , fixed point , normed algebra , pure mathematics , algebra over a field , mathematical analysis , current algebra , jordan algebra , political science , law
This paper discussed about the proof of the fixed point theorem on the standard 2-normed spaces by using completeness. The completeness of the standard 2-normed spaces is shown by defining a new norm. Two linear independent vectors on standard 2-normed spaces are used to define the new norm, namely which has been shown to be equivalent to standard norm.