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APPROXIMATION OF COMMON FIXED POINTS OF A FINITE FAMILY OF DEMICONTRACTIVE MAPPINGS BY AN IMPLICIT ITERATION METHOD

Donatus I. Igbokwe, Unwana E. Udofia

Abstract


            We prove that the Implicit Iteration process of Xu and Ori (2001) converges strongly to the commonfixed pointsof a finite family of demicontractive mappings in real Hilbertand Banachspaces. Our results extend the results of Osilike (2004a) from strictly pseudocontractive maps to the much more general  demicontractive maps;complement and generalize several others in the literature.


Keywords


Demicontractive Maps, Implicit Iteration Process, Fixed Points,Strong Convergence.

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