Fixed points of a pair of asymptotically regular mappings

In this paper, some theorems on fixed points of pair of asymptotically regular mappings in p-uniformly convex Banach space are proved. For these mappings some fixed point theorems in a Hilbert space, in L^p spaces, in Hardy spaces H^p and in Sobolev spaces H^pk, for 1 and k0 are also established. Thus, results of Gornicki^{[9, 10]}. Kruppel^{[11, 12]} and others are extended.