Altering Distances and a Common Fixed Point Theorem in Menger Probabilistic Metric Spaces

Siniša N. Ješić, Nataša A. ĆIrović, Donal O'Regan

This paper presents a common fixed point theorem for two compatible self-mappings satisfying nonlinear contractive type condition defined using a $\Phi$-function. This result extends previous results due to B. S. Choudhury, K. Das, A new contraction principle in Menger spaces, Acta Mathematica Sinica 24 (2008) 1379--1386, and the result due to D. Miheţ, Altering distances in probabilistic Menger spaces, Nonlinear Analysis 71 (2009) 2734--2738.