Contraction Principles in $M_s$-metric Spaces
  In this paper, we give an interesting extension of the partial S-metric space which was introduced [4] to the M_s-metric space. Also, we prove the existence and uniqueness of a fixed point for a self mapping on an Ms-metric space under different contraction principles. 
N. Mlaiki, N. Souayah, K. Abodayeh, T. Abdeljawad
math.GM