%0 Journal Article
%T A generalization to parametric metric spaces
%J International Journal of Nonlinear Analysis and Applications
%I Semnan University
%Z 2008-6822
%A Das, Abhishikta
%A Bag, Tarapada
%D 2023
%\ 01/01/2023
%V 14
%N 1
%P 229-244
%! A generalization to parametric metric spaces
%K Parametric metric
%K decomposition theorem
%K metric
%K generalized parametric metric
%R 10.22075/ijnaa.2022.26832.3420
%X Following the concept of parametric metric space introduced by N. Hussain et al., the definition of generalized parametric metric space is given. A decomposition theorem from a generalized metric into a family of crisp metrics is established. Another decomposition theorem from a family of the crisp metric into a generalized parametric metric identical to the first one under certain conditions is proved. Some basic results are studied and develop a Banach type fixed point theorem with an application to an integral equation.
%U https://ijnaa.semnan.ac.ir/article_6835_4735dc9b2dcd5e0e906bbd1528e95e02.pdf