%0 Journal Article
%T Function weighted $\mathcal{G}$-metric spaces and Hausdorff $\Delta$-distances; an application to fixed point theory
%J International Journal of Nonlinear Analysis and Applications
%I Semnan University
%Z 2008-6822
%A Lotfali Ghasab, Ehsan
%A Majani, Hamid
%D 2021
%\ 11/01/2021
%V 12
%N 2
%P 1441-1452
%! Function weighted $\mathcal{G}$-metric spaces and Hausdorff $\Delta$-distances; an application to fixed point theory
%K Function weighted $\mathcal{G}$-metric space
%K Hausdorff $\Delta$-distance
%K coupled coincidence point
%K Common coupled fixed point
%R 10.22075/ijnaa.2020.20547.2167
%X 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.
%U https://ijnaa.semnan.ac.ir/article_5259_af59e02af75d032b4ed517ef2ab8cd74.pdf