On ćirić type φ-geraghty contractions

Abstract

In this paper we introduce the notions of φ-Geraghty contractions and Ćirić type φ-Geraghty contractions. We also investigate under which conditions such mappings posses a unique fixed point in the framework of complete metric spaces. We consider examples to show the validity of our main results. © 2019 by the Mathematical Association of Thailand.