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Demiclosedness principle and convergence theorems for k-strictly asymptotically pseudocontractive maps |
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| Authors: | M.O. Osilike A. Udomene |
| Affiliation: | a Department of Mathematics, University of Nigeria, Nsukka, Nigeria b Department of Mathematics, University of Port Harcourt, Port Harcourt, Nigeria c Department of Mathematics, University of Uyo, Uyo, Nigeria |
| Abstract: | Let E be a real q-uniformly smooth Banach space which is also uniformly convex (for example, Lp or ?p spaces, 1<p<∞), and K a nonempty closed convex (not necessarily bounded) subset of E. Let  be a k-strictly asymptotically pseudocontractive map with a nonempty fixed-point set. It is proved that (I−T) is demiclosed at 0. Furthermore, weak and strong convergence of an averaging iteration method to a fixed point of T are proved. |
| Keywords: | Fixed points k-Strictly asymptotically pseudocontractive maps Mann iteration Ishikawa iteration q-Uniformly smooth Banach spaces |
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