dependent fixed point results for extended Geraghty type contractions in Banach spaces

In this paper we introduce new notions of extended Geraghty type contractive mappings and investigate the existence and uniqueness of PPF dependent fixed point for such mappings in the Razumikhin class. As an application of our PPF dependent fixed point results, we deduce corresponding PPF dependent coincidence point results in the Razumikhin class.

کلیدواژه ها:

PPF dependent fixed point ، PPF dependent coincidence point ، Suzuki-Edelstein type contractive mappings ، the Razumikhin class