Abstract

Recently, Ćirić, Mihe\c{t} and Saadati [Topoplogy Appl. 156 (2009), 2838�-2844] proved a common fixed point theorem in partially ordered probabilistic metric spaces. In this paper, we consider the generalized distance in probabilistic metric spaces introduced by Saadati, et. al., [Bull. Iranian Math. Soc. 35:2 (2009), 97--117] and prove some fixed point theorems in partially ordered probabilistic metric spaces.

Keywords: Non-decreasing mapping; coincidence; fixed point; common fixed point; complete metric space; generalized distance.

MSC: 54H25, 47H10

Pages:  82$-$93     

Volume  65 ,  Issue  1 ,  2013