Stable iteration schemes for local strongly pseudocontractions and nonlinear equations involving local strongly accretive operators

Liu, Z. and Ume, J.S. (2005) Stable iteration schemes for local strongly pseudocontractions and nonlinear equations involving local strongly accretive operators. ACTA MATHEMATICA ACADEMIAE PAEDAGOGICAE NYÍREGYHÁZIENSIS, 21 (2). pp. 185-197. ISSN 0866-0174

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Abstract

Let T be a local strongly pseudocontractive and uniformly continuous operator from an arbitrary Banach space X into itself. Under certain conditions, we establish that the Noor iteration scheme with errors both converges strongly to a unique fixed point of T and is almost T-stable. The related results deal with the convergence and almost stability of the Noor iteration scheme with errors of solutions of nonlinear equations of the local strongly accretive type.

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