On the convergence of the Mann iteration in locally convex spaces


J. O. Olaleru


Abstract

carpathian_2006_22_115_120_abstract

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carpathian_2006_22_115_120

The approximation of fixed points of some quasi contractive operators in arbitrary Banach spaces using the Mann iterative procedure is generalized to complete metrisable locally convex spaces. This turns out to be an extension of a result of Berinde [2] which in turn is an extension of a theorem of Rhoades [12].

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Author(s)

O. Olaleru, J.