@article{Nazam2023, 
author = {Muhammad Nazam and Aftab Hussain and Asim Asiri},
title = {On a common fixed point theorem in vector-valued    b-metric spaces: Its consequences and application},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {11},
pages = {26021-26044},
keywords = {common fixed point, (ζ, F)-Ćirić contraction, ζ-complete vector-valued b-metric space},
url = {https://www.sciopen.com/article/10.3934/math.20231326},
doi = {10.3934/math.20231326},
abstract = {We introduce a Ćirić type contraction principle in a vector-valued    b-metric space that generalizes Perov's contraction principle. We investigate the possible conditions on the mappings    W  ,  E  :  G  →  G (   G is a non-empty set), for which these mappings admit a unique common fixed point in    G subject to a nonlinear operator        F    :            P              m        →            R              m      . We illustrate the hypothesis of our findings with examples. We consider an infectious disease model represented by the system of delay integro-differential equations and apply the obtained fixed point theorem to show the existence of a solution to this model.}
}