In this paper, we obtain the coefficient inequalities for functions in certain subclasses of Janowski starlike functions of complex order which are related starlike functions associated with a hyperbolic domain. Our results extend the study of various subclasses of analytic functions. Several applications of our results are also mentioned

In this paper we introduce a new type of implicit relation and we prove a general fixed point theorem in G -metric spaces using two auxiliary functions, generalizing Theorem 3.3 [1].2000 Mathematics Subject Classification: 54H25, 47H10.