  The major motives of this paper are to study different types of contractive
mappings and also to answer an open question of Garai et al. [The contractive
principle for mappings in $b_v(s)$-metric spaces, arXiv:1802.03136]. We first
set up some fixed point results associated with two types of contractive
mappings in $b_v(s)$-metric spaces and then we give an answer, in positive, to
the open question. Most importantly, we characterize the completeness of a
$b_v(s)$-metric space via fixed point property of a certain type of contractive
mappings. Our results extend and generalized several important results in the
literature.
