BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, cilt.43, ss.2647-2657, 2020 (SCI İndekslerine Giren Dergi)
In this paper, taking into account Caristi's fixed point results on both metric spaces and partial metric spaces, we present their some extensions and generalizations on M-metric spaces. First, by providing a counter example, we noticed that a recent result on Caristi-type fixed point theorem on M-metric space is not suitable. Then we propounded two versions of Caristi's inequality and proved some related fixed point results on M -metric space.