A Generalization of Halpern Iteration. Preliminary Results

Mathematics – Functional Analysis

Scientific paper

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Scientific paper

A generalization of a viscosity generalized Halpern iteration scheme is
analyzed. It is proven that the solution converges asymptotically strongly to a
unique fixed point of an asymptotically nonexpansive mapping which drives the
iteration together with a contractive self-mapping, a viscosity term and two
driving external forcing terms.

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