On random coincidence point theorems

Abstract

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