Abstract. In this paper we prove a general random fixed point theorem for multivalued maps in Frechet spaces. We apply our main result to obtain some common random fixed point theorems. Our main result unifies and extends the work due to Benavides, Acedo and Xu , Itoh , Lin , Liu , Tan and Yuan , Xu , etc.
AMSclassification. 47H10, 60H25.
Keywords. Multivalued map, random fixed point, Frechet space.