Random Fixed Points of 1-Set Contractive Random Maps in Frechet Spaces

operators in Fr´echet spaces is proved. As applications, some random fixed point theorems for nonexpansive, semicontractive, and LANE random operators are also derived. Thus the results of Itoh w J. Math. Anal. Appl. 67 1979., 261]273x, Lin w Proc. Amer. Math. Soc. 123 1995., 1167]1176; Proc. Amer. Math. Soc. 103 1988., 1129]1135x, ShahzadwJ. Math. Anal. Appl. 203 1996., 712]718x, Tan and Yuan wStochastic Anal. Appl. 15 1997., 103]123x, and XuwProc. Amer. Math. Soc. 110 1990., 495]500x, are extended.