Abstract
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 Lp spaces, in Hardy spaces Hp and in Sobolev spaces Hpk, for 1<p<+∞ and k≥0 are also established. Thus, results of Gornicki[9, 10]. Kruppel[11, 12] and others are extended.
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