Int. Journal of Math. Analysis, Vol. 2, 2008, no. 12, 557 - 561 Fixed Point Theorem for Random Operators in Hilbert Spaces Vanita Ben Dhagat*, Akshay Sharma *1 and Ramakant Bhardwaj *2 * Jai Narayan college of Technology, Barasiya Road, Bhopal, India * 1 Mittal Institute of Technology, Navi Bag, Karond, Bhopal, India *2 Truba Institute of Engg. & Information Technology, Bhopal, India aks_sharma81@yahoo.com, vanita1_dhagat@yahoo.co.in, rkbhardwaj100@gmail.com Abstract We find unique common random fixed point of two random operators in closed subset of a separable Hilbert space by considering a sequence of measurable functions satisfying conditions A or B. We have given an example in support of the results. Mathematics Subject Classification: 54H25, 47H10 Keywords: Separable Hilbert space, random operators, common random fixed point Introduction and Preliminaries: Condition A: Let S,T: C→C be three mappings , when C is non empty subset of a Hilbert space H, is said to satisfy the condition A, if ||E r x-F s y|| 2 ≤ k max [c ||x-y|| 2 , {||x-E r x|| 2 +||y-F s y|| 2} , {||x-F s y|| 2 +||y-E r x|| 2 } 0≤ k≤1/2; c≥0 and r, s >0