TY - JOUR
ID - 5259
TI - Function weighted $\mathcal{G}$-metric spaces and Hausdorff $\Delta$-distances; an application to fixed point theory
JO - International Journal of Nonlinear Analysis and Applications
JA - IJNAA
LA - en
SN -
AU - Lotfali Ghasab, Ehsan
AU - Majani, Hamid
AD - Department of Mathematics, Shahid Chamran University of Ahvaz, Ahvaz, Iran
Y1 - 2021
PY - 2021
VL - 12
IS - 2
SP - 1441
EP - 1452
KW - Function weighted $\mathcal{G}$-metric space
KW - Hausdorff $\Delta$-distance
KW - coupled coincidence point
KW - Common coupled fixed point
DO - 10.22075/ijnaa.2020.20547.2167
N2 - In this paper, we introduce a new space which is a generalization of function weighted metric space introduced by Jleli and Samet [On a new generalization of metric spaces, J. Fixed Point Theory Appl. 2018, 20:128] where namely function weighted $\mathcal{G}$-metric space. Also, a Hausdorff $\Delta$-distance is introduced in these spaces. Then several fixed point results for both single-valued and multi-valued mappings in such spaces are proved. We also construct some examples for the validity of the given results and present an application to the existence of a solution of the Volterra-type integral equation.
UR - https://ijnaa.semnan.ac.ir/article_5259.html
L1 - https://ijnaa.semnan.ac.ir/article_5259_af59e02af75d032b4ed517ef2ab8cd74.pdf
ER -