Common fixed points for weakly commuting mappings on a multiplicative b-metric space

Abstract

In this paper, we discuss the unique common fixed point of two pair of weakly commuting mappings on a complete multiplicative b-metric space, which satisfy the following inequality:

d(Sx,Ty)≤[k{max{d(Ax,By),d(Ax,Sx),d(By,Ty),d(Sx,By),d(Ax,Ty)}}]^λ,

where A and S are weak commutative, B and T also are weak commutative. Our result improve and generalize the results of X. He et al. [3].