On mappings with φ-contractive iterate at a point on generalized metric spaces

Abstract

We prove a set of fixed point theorems for mappings with φ-contractive iterate at a point in a class of generalized metric spaces. This is a generalization of some well-known results for Guseman and Matkowski types of fixed point results in metric and generalized metric spaces. © 2014 Gajić and Stojaković licensee Springer.