Common fixed point results for multi-valued mappings in complex-valued metric spaces by (S,T)-contractive condition

. In this paper, the existence of common fixed points is established for multi-valued mapping on the complex-valued metric spaces. Also the following theorem Let (S,d)be acomplex-valued metric spase and T:X→CB(X) be multi-valued mappings with g.l.b property such that (αd(x,y)+μd(x,Sx)d(y,Ty)+γd(y,Sx)d(x,Ty))/(e+d(x,y) )∈λ(Sx,Ty) For all x,y ∈X, where α,µ,γ≥0, with α+µ+γ 1. Then S, T have a unique common fixed point. It is a well-known fact that the mathematical results regarding fixed points of contraction type mappings are very useful for determining the existence and uniquess of solutions to various mathematical models.