TY - JOUR
ID - 7462
TI - On a best proximity point theorems for \alpha,d_{G}-regular contractive type mappings in G-metric spaces
JO - Computational Sciences and Engineering
JA - CSE
LA - en
SN -
AU - Babakhani, Azizollah
AU - Jasem, Sami H.
AU - Rasouli, Sayyed Hashem
AD - Babol Noshirvani University of Technology
AD - Department of Mathematics, Babol Noshirvani University of Technology
AD - Department of Mathematics, Babol Noshirvani University of Technology, Babol-Iran
Y1 - 2024
PY - 2024
VL -
IS -
SP -
EP -
KW - Best proximity point
KW - \alpha-\psi-proximal contractive
KW - G-metric space
DO - 10.22124/cse.2024.26472.1071
N2 - We consider the $G-$ metric space with including the $P-$property which are introduced by Z. Mustafa and B. Sims (Nonlinear Convex Anal. 7 (2006) 289-297) and presented by B. Samet and et al. in a metric space (Nonlinear Anal. 4 (75) (2012) 2154--2165) respectively. In the present work we define $P-$property in a $G-$ metric space and proved that under which various conditions there exist a best proximity point for non-selfâmapping in $G-$metric space. Also, we introduced for a certain such mappings which its best proximity point is unique under further conditions.
UR - https://cse.guilan.ac.ir/article_7462.html
L1 -
ER -