Some fixed point theorems for rational Geraghty contractive mappings in ordered b -metric spaces

摘要

In this paper, new classes of rational Geraghty contractive mappings in the setup of b-metric spaces are introduced. Moreover, the existence of some fixed point for such mappings in ordered b-metric spaces are investigated. Also, some examples are provided to illustrate the results presented herein. Finally, an application of the main result is given. MSC:47H10, 54H25.