In this paper, some common fixed point theorems for four semicompatible self-maps satisfying a rational type contraction in a recently generalization of the metric space namely, complex valued generalized metric space have been proved. The presented results generalize and extend the earlier results of Abbas et al.  and others.
Keywords and Phrases
Common fixed points, partially ordered set, complex-valued metric spaces, rational inequality, semi-compatible, weakly compatible, weak annihilator, dominating map
A.M.S. subject classiﬁcation
Primary 54H25, Secondary 47H10.