Abstract:

By introducing a class of complex functions A and constructing convergent sequences on complex valued metric spaces, we proved that the limits of the given sequences are the unique fixed point of the mappings satisfying a Aimplicit contractive condition, and gave the existence theorems of common fixed points for two mappings satisfying a Aimplicit contractive condition on a nonempty set with two complex valued metrics.

Key words: complex valued metric space, common fixed point, A-implicit contraction