TY - JOUR
ID - 6835
TI - A generalization to parametric metric spaces
JO - International Journal of Nonlinear Analysis and Applications
JA - IJNAA
LA - en
SN -
AU - Das, Abhishikta
AU - Bag, Tarapada
AD - Department of Mathematics, Siksha-Bhavana, Visva-Bharati, Santiniketan-731235, Birbhum, West Bengal, India
Y1 - 2023
PY - 2023
VL - 14
IS - 1
SP - 229
EP - 244
KW - Parametric metric
KW - decomposition theorem
KW - metric
KW - generalized parametric metric
DO - 10.22075/ijnaa.2022.26832.3420
N2 - 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.
UR - https://ijnaa.semnan.ac.ir/article_6835.html
L1 - https://ijnaa.semnan.ac.ir/article_6835_4735dc9b2dcd5e0e906bbd1528e95e02.pdf
ER -