Fixed point theorems for hybrid rational Geraghty contractive mappings in ordered \(b\)-metric spaces (Q2336837)

Summary: We introduce the new notion of a hybrid rational Geraghty contractive mapping and investigate the existence of fixed point and coincidence point for such mappings in ordered \(b\)-metric spaces. We also provide an example to illustrate the results presented herein. Finally, we establish an existence theorem for a solution of an integral equation.