TY - JOUR
T1 - Fixed point theorems under Rhoades and Reich contractive conditions in complete cone metric spaces
AU - Sunarsini,
AU - Apriliani, E.
AU - Yunus, M.
N1 - Publisher Copyright:
© Published under licence by IOP Publishing Ltd.
PY - 2021/3/29
Y1 - 2021/3/29
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85103919210&partnerID=8YFLogxK
U2 - 10.1088/1742-6596/1821/1/012003
DO - 10.1088/1742-6596/1821/1/012003
M3 - Conference article
AN - SCOPUS:85103919210
SN - 1742-6588
VL - 1821
JO - Journal of Physics: Conference Series
JF - Journal of Physics: Conference Series
IS - 1
M1 - 012003
T2 - 6th International Conference on Mathematics: Pure, Applied and Computation, ICOMPAC 2020
Y2 - 24 October 2020
ER -