V. Popa has proved common fixed point theorems for multi-valued mappings which verify rational inequalities, which contain the Hausdorff metric in their expressions. Recently, A. Petcu in [1, 2, 3] has proved other common fixed point theorems for two or more multi-valued mappings without using the Hausdorff metric. In this paper by providing some different conditions we shall study existence of common fixed points for multi-valued mappings.
