TY - JOUR
T1 - Fixed point results for $G^m$-Meir-Keeler contractive and $G$-$(\alpha,\psi)$-Meir-Keeler contractive mappings
AU - Vetro, Pasquale
AU - Karapinar, Erdal
AU - Hussain, Nawab
AU - Salimi, Peyman
AU - Hussain, Nawab
PY - 2013
Y1 - 2013
N2 - In this paper, first we introduce the notion of a $G^m$-Meir-Keeler contractive mapping and establish some fixed point theorems for the $G^m$-Meir-Keeler contractive mapping in the setting of $G$-metricspaces. Further, we introduce the notion of a $G_c^m$-Meir-Keeler contractive mapping in the setting of $G$-cone metric spaces andobtain a fixed point result. Later, we introduce the notion of a $G$-$(\alpha,\psi)$-Meir-Keeler contractive mapping and prove some fixed point theorems for this class of mappings in the setting of$G$-metric spaces.
AB - In this paper, first we introduce the notion of a $G^m$-Meir-Keeler contractive mapping and establish some fixed point theorems for the $G^m$-Meir-Keeler contractive mapping in the setting of $G$-metricspaces. Further, we introduce the notion of a $G_c^m$-Meir-Keeler contractive mapping in the setting of $G$-cone metric spaces andobtain a fixed point result. Later, we introduce the notion of a $G$-$(\alpha,\psi)$-Meir-Keeler contractive mapping and prove some fixed point theorems for this class of mappings in the setting of$G$-metric spaces.
KW - $G$-$(\alpha
KW - $G$-Cone metric space
KW - $G$-metric space
KW - $G^m$-Meir-Keeler contractive mapping
KW - $G_c^m$-Meir-Keeler contractive mapping
KW - \psi)$-Meir-Keeler contractive mapping
KW - $G$-$(\alpha
KW - $G$-Cone metric space
KW - $G$-metric space
KW - $G^m$-Meir-Keeler contractive mapping
KW - $G_c^m$-Meir-Keeler contractive mapping
KW - \psi)$-Meir-Keeler contractive mapping
UR - http://hdl.handle.net/10447/71013
UR - http://www.fixedpointtheoryandapplications.com/content/2013/1/34
M3 - Article
VL - 2013
SP - 1
EP - 14
JO - Fixed Point Theory and Algorithms for Sciences and Engineering
JF - Fixed Point Theory and Algorithms for Sciences and Engineering
SN - 1687-1820
ER -