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Fixed points of a pair of asymptotically regular mappings
Authors:B. K. Sharma  B. S. Thakur
Affiliation:School of Studies in Mathematics, Pt. Ravishankar Shukla University, Raipur-492010 India
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 and kge0 are also established. Thus, results of Gornicki[9, 10]. Kruppel[11, 12] and others are extended.
Keywords:asymptotically regular mappings  p-uniformly convex Banach space  asymptotic center  fixed points
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