TY - JOUR
T1 - A note on coincidence points of multivalued weak G-contraction mappings
AU - Alfuraidan, Monther Rashed
AU - Khamsi, Mohamed Amine
N1 - Publisher Copyright:
© 2016 All rights reserved.
PY - 2016
Y1 - 2016
N2 - In this note, we discuss the definition of the multivalued weak contraction mappings defined in a metric space endowed with a graph as introduced by Hanjing and Suantai[A. Hanjing, S. Suantai, Fixed Point Theory Appl., 2015 (2015), 10 pages]. In particular, we show that this definition is not correct and give the correct definition of the multivalued weak contraction mappings defined in a metric space endowed with a graph. Then we prove the existence of coincidence points for such mappings.
AB - In this note, we discuss the definition of the multivalued weak contraction mappings defined in a metric space endowed with a graph as introduced by Hanjing and Suantai[A. Hanjing, S. Suantai, Fixed Point Theory Appl., 2015 (2015), 10 pages]. In particular, we show that this definition is not correct and give the correct definition of the multivalued weak contraction mappings defined in a metric space endowed with a graph. Then we prove the existence of coincidence points for such mappings.
KW - Coincidence points
KW - Directed graph
KW - Reich multivalued mapping
KW - Weak G-contraction mappings
UR - http://www.scopus.com/inward/record.url?scp=84990057862&partnerID=8YFLogxK
U2 - 10.22436/jnsa.009.06.53
DO - 10.22436/jnsa.009.06.53
M3 - Article
AN - SCOPUS:84990057862
SN - 2008-1898
VL - 9
SP - 4098
EP - 4103
JO - Journal of Nonlinear Science and Applications
JF - Journal of Nonlinear Science and Applications
IS - 6
ER -