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Iterative sequence for asymptotically demicontractive maps in Banach spaces |
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| Authors: | Chika Moore BVC Nnoli |
| Institution: | a Department of Mathematics and Computer Science, Nnamdi Azikiwe University, Awka, Anambra State, Nigeria b Department of Mathematics, University of Jos, Jos, Plateau State, Nigeria |
| Abstract: | Let E be a real Banach space and T:E→E an asymptotically demicontractive and uniformly L-Lipschitzian map with F(T):={x∈E:Tx=x}≠∅. We prove necessary and sufficient conditions for the strong convergence of the Mann iterative sequence to a fixed point of T. |
| Keywords: | Asymptotically hemicontractive maps Strong convergence Necessary and sufficient condition Banach spaces |
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