Fixed point theorems under Rhoades and Reich contractive conditions in complete cone metric spaces

One of the extended metric space concepts is a cone metric space. The cone metric space was first proposed by Guang and Xian in 2007. In their research, they introduced Banach fixed point theorems in complete cone metric space, namely by analogizing the fixed point theorems in complete metric space....

Full description

Saved in:
Bibliographic Details
Published in:Journal of physics. Conference series 2021-03, Vol.1821 (1), p.12003
Main Authors: Sunarsini, Apriliani, E, Yunus, M
Format: Article
Language:English
Subjects:
Fixed points (mathematics)
Metric space
Physics
Theorems
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:One of the extended metric space concepts is a cone metric space. The cone metric space was first proposed by Guang and Xian in 2007. In their research, they introduced Banach fixed point theorems in complete cone metric space, namely by analogizing the fixed point theorems in complete metric space. They add normal properties to the cone set. However, Rezapour in 2008 refuted Banach fixed point theorems in cone metric space by eliminating normal properties of the cone set. For this reason, we will investigate the existence and uniqueness of Rhoades and Reich contractive mappings in cone metric space by referring to the research of Guang and Rezapour.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/1821/1/012003