Fixed Point of a Pseudocontractive Map in a Banach Space - Bokoum, Amadu
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The Ishikawa iterative sequence is shown to converge strongly to the unique fixed point of a Pseudocontractive map in uniformly smooth real Banach space. The convergence of the Iterative sequence to this unique fixed of the pseudocontractive map is guaranteed whether or not the pseudocontractive map is Lipschitzian or has a bounded range. The Uniqueness of a fixed point of such a Pseudocontractive map is also discussed.

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Produktbeschreibung
The Ishikawa iterative sequence is shown to converge strongly to the unique fixed point of a Pseudocontractive map in uniformly smooth real Banach space. The convergence of the Iterative sequence to this unique fixed of the pseudocontractive map is guaranteed whether or not the pseudocontractive map is Lipschitzian or has a bounded range. The Uniqueness of a fixed point of such a Pseudocontractive map is also discussed.
Autorenporträt
Amadu Bokoum is lecturer at the Department of Mathematical Sciences of The Methodist University College Ghana. Fixed point theory and differential equations are his research interest.