Common fixed point results for probabilistic φ-contractions in generalized probabilistic metric spaces

In this paper, we present some new fixed point and common fixed point (common coupled fixed point, common tripled fixed point, and common quadruple fixed point) theorems of probabilistic contractions with a gauge function φ in generalized probabilistic metric spaces proposed by Zhou et al. [C.-L. Zhou, S.-H. Wang, L. Ciric, S. M. Alsulami, Fixed Point Theory Appl., 2014 (2014), 15 pages]. Our results extend some existing results. Moreover, an example is given to illustrate our main results.