Abstract
Some random coincidence point theorems are proved. The
results of Benavides et al. [Random fixed points of set-valued
operators, Proc. Amer. Math. Soc. 124 (1996), 831–838], Itoh
[Random fixed point theorems with an application to random differential equations
in Banach spaces, J. Math. Anal. Appl. 67 (1979), 261–273],
Shahzad and Latif [A random coincidence point theorem, J. Math. Anal. Appl.
245 (2000), 633–638], Tan and Yuan [Random fixed point theorems and approximation,
Stochastic
Anal. Appl. 15 (1997), 103–123] and Xu [Some random fixed point theorems for
condensing and nonexpansive operators,
Proc. Amer. Math. Soc. 110 (1990), 495–500] are either
extended or improved.