Coincidence point theorems in probabilistic and fuzzy metric spaces

In this paper, we prove some new coincidence point theorems for a hybrid pair of single- and multi-valued mappings under more generalized contractive conditions in Menger spaces and generalized Menger spaces. Our results can be applied to the theory of the fuzzy metric spaces. By relaxing some conditions, several recent results given by Žikić-Dos˘enović, Mihet and Ghaemi and Razani are extended.