We first establish a random fixed point theorem for random weakly inward and γcontractive nonself mappings defined on a closed subset of a Banach space. This result is a stochastic generalization of Carlos Martinen-Yanez's deterministic result [3]. We aLso obtain a generaL random fixed point theorem for random continuous and demicompact mappings. In tight of this resuLt,we then establish some random fixed point theorems for mappings satisfying various weakLy inwardness conditions. Our results include, as special cases, the theorems of I t oh. Lin, SehgaL and Warters, and Xu