Fixed Point Theorem on Contractive Mapping in Standard 2-Normed Spaces

Authors

  • Salsabila Ammari Universitas Hasanuddin
  • Muh Nur
  • Naimah Aris

DOI:

https://doi.org/10.20956/j.v18i1.14394

Keywords:

mathematic, functional analysis, fixed point theorem, 2-normed spaces

Abstract

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.

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Published

2021-09-02

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Section

Research Articles