Summary: In this paper we have established some unique common fixed point theorems on \(b_v(s)\)-metric spaces which are the extensions of theorems given in T. Došenović et al. [Math. Slovaca 70, No. 2, 441–452 (2020; Zbl 1481.54041)] and [E. Altiparmak and I. Karahan, “Fixed point results in partially ordered partial \(b_v(s)\)-metric spaces”, Int. J. Nonlinear Anal. Appl. 12, No. 2, 35–52 (2021)]. Some basic definitions, properties and lemmas are given in the introduction and preliminaries part. Some corollaries are also given on the basis of the result.