On random coincidence point theorems

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.