Abstract :
We prove a random coincidence point theorem for a pair of commuting random
operators which extends results due to T. D. Benavides et al. 1996, Proc. Amer.
Math. Soc. 124, 831]838., S. Itoh 1979, J. Math. Anal. Appl. 67, 261]273., K. K.
Tan and X. Z. Yuan 1997, Stochastic Anal. Appl. 15, 103]123., and H. K. Xu
1990, Proc. Amer. Math. Soc. 110, 495]500.. We also derive a common random
point theorem.
Keywords :
Opial’s condition , Banach space. , random coincidence point , Random fixed point