On contractive mappings in bv(s)-metric spaces

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.