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On the multilevel nonlinear problem and its convergence algorithms

Zhenhua He, Jitao Sun
2016 Journal of Nonlinear Science and its Applications  

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In this paper, applying the geometrical knowledge of Hilbert spaces, we investigate and analyze a system of multilevel split fixed point problems (MSFP). New split solution algorithms are introduced and strong convergence theorems for (MSFP) are established. At the end of this paper, as an application of our results, we investigate and analyze a system of multilevel split variational inclusion problems (MSVIP) and some strong convergence solution for (MSVIP) are obtained. These results obtained
more » ... by this paper improve and develop some known ones in the literature. c 2016 All rights reserved. Keywords: Multilevel nonlinear problem, nonexpansive mapping, variational inclusion problem, split solution algorithm, strong convergence theorem.
doi:10.22436/jnsa.009.03.20 fatcat:ccfyneptqrbd3olgwhxmy2qh2q
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Zhenhua He, Jitao Sun. "On the multilevel nonlinear problem and its convergence algorithms." Journal of Nonlinear Science and its Applications 09.03 (2016) 906-919