| Issue |
ITM Web Conf.
Volume 67, 2024
The 19th IMT-GT International Conference on Mathematics, Statistics and Their Applications (ICMSA 2024)
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|
|---|---|---|
| Article Number | 01015 | |
| Number of page(s) | 7 | |
| Section | Mathematics, Statistics and Their Applications | |
| DOI | https://doi.org/10.1051/itmconf/20246701015 | |
| Published online | 21 August 2024 | |
Investigation of the fixed-point theorem on a complete cone metric space
Department of Mathematics, Syiah Kuala University, Banda Aceh, Indonesia
* Corresponding author: rahmazuhra@usk.ac.id
Metric space is the one of topics in mathematical analysis which is still being studied and developed. Previous research has extended the contraction mappings and completeness properties from metric spaces to other spaces such as cone metric spaces. This research will prove a fixed-point theorem on cone metric spaces, construct a function and maps to [0,1), then add several conditions to the theorem, namely partially ordered, contraction mapping, and non-decreasing and continuous functions. The outcomes include evidence indicating a unique fixed point in cone metric space. As consequence, there are three different characteristics for contraction mapping expressed in three corollaries.
© The Authors, published by EDP Sciences, 2024
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