On some new fixed point results for rational Geraghty contractive mappings in ordered b-metric spaces

In this paper we prove some new fixed point results in the context of ordered bmetric spaces for rational Geraghty contractive mappings. Thus our results in the new context generalize, extend, unify, enrich and complement fixed point theorems of contractive mappings in several aspects. One example is given to show the validity of our results. In addition, we obtain the periodic property of these mappings.