@article {
author = {Lotfali Ghasab, Ehsan and Majani, Hamid},
title = {Function weighted $\mathcal{G}$-metric spaces and Hausdorff $\Delta$-distances; an application to fixed point theory},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {12},
number = {2},
pages = {1441-1452},
year = {2021},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2020.20547.2167},
abstract = {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.},
keywords = {Function weighted $\mathcal{G}$-metric space,Hausdorff $\Delta$-distance,coupled coincidence point,Common coupled fixed point},
url = {https://ijnaa.semnan.ac.ir/article_5259.html},
eprint = {https://ijnaa.semnan.ac.ir/article_5259_af59e02af75d032b4ed517ef2ab8cd74.pdf}
}