Open AccessFixed point theorems under Rhoades and Reich contractive conditions in complete cone metric spaces
Author(s) -
Sunarsini,
E. Apriliani,
Mahmud Yunus
Publication year - 2021
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 - 10.1088/1742-6596/1821/1/012003
Subject(s) - metric space , mathematics , cone (formal languages) , convex metric space , injective metric space , intrinsic metric , pure mathematics , complete metric space , uniqueness , dual cone and polar cone , metric (unit) , metric differential , banach space , fixed point theorem , space (punctuation) , mathematical analysis , geometry , computer science , algorithm , operations management , regular polygon , economics , operating system
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.