Compatible mappings of type $(P)$ and fixed point theorems in metric spaces and probabilistic metric spaces


H. K. Pathak, Y. J. Cho, S. S. Chang, S. M. Kang




Some common fixed point theorems for compatible mappings of type $(P)$ in metric spaces and probabilistic metric spaces are given. Also, we extend Caristi's fixed point theorem and Ekeland's variational principle in metric spaces to probabilistic metric spaces.