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Effective results on a fixed point algorithm for families of nonlinear mappings |
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| Authors: | Andrei Sipo? |
| Institution: | 1. Faculty of Mathematics and Computer Science, University of Bucharest, Academiei 14, 010014 Bucharest, Romania;2. Simion Stoilow Institute of Mathematics of the Romanian Academy, P.O. Box 1-764, 014700 Bucharest, Romania |
| Abstract: | We use proof mining techniques to obtain a uniform rate of asymptotic regularity for the instance of the parallel algorithm used by López-Acedo and Xu to find common fixed points of finite families of k-strict pseudocontractive self-mappings of convex subsets of Hilbert spaces. We show that these results are guaranteed by a number of logical metatheorems for classical and semi-intuitionistic systems. |
| Keywords: | 03F10 03F60 47J25 47H09 Proof mining Effective bounds Asymptotic regularity Strict pseudocontractions Parallel algorithm |
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