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.
Das,A and Bag,T . (2023). A generalization to parametric metric spaces. International Journal of Nonlinear Analysis and Applications, 14(1), 229-244. doi: 10.22075/ijnaa.2022.26832.3420
MLA
Das,A , and Bag,T . "A generalization to parametric metric spaces", International Journal of Nonlinear Analysis and Applications, 14, 1, 2023, 229-244. doi: 10.22075/ijnaa.2022.26832.3420
HARVARD
Das A, Bag T. (2023). 'A generalization to parametric metric spaces', International Journal of Nonlinear Analysis and Applications, 14(1), pp. 229-244. doi: 10.22075/ijnaa.2022.26832.3420
CHICAGO
A Das and T Bag, "A generalization to parametric metric spaces," International Journal of Nonlinear Analysis and Applications, 14 1 (2023): 229-244, doi: 10.22075/ijnaa.2022.26832.3420
VANCOUVER
Das A, Bag T. A generalization to parametric metric spaces. IJNAA. 2023;14(1):229-244. doi: 10.22075/ijnaa.2022.26832.3420
International Journal of Nonlinear Analysis and Applications