Open AccessCompleteness and Fixed Point Theorem in Cone Rectangular Metric Spaces
Author(s) -
Sie Evan Setiawan,
Sunarsini,
Sadjidon
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1490/1/012009
Subject(s) - mathematics , completeness (order theory) , metric space , cone (formal languages) , fixed point theorem , dual cone and polar cone , injective metric space , mathematical analysis , pure mathematics , metric (unit) , convex metric space , discrete mathematics , geometry , algorithm , operations management , regular polygon , economics
In this paper, we explore two properties of cone rectangular metric spaces: completeness and fixed point theorem. We analyse sufficient condition and necessary requirement for a cone rectangular metric space to be complete. We also give a new proof for fixed point theorem in cone rectangular metric spaces.