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Iterative selection methods for common fixed point problems

Sever Adrian Hirstoaga 1
1 TONUS - TOkamaks and NUmerical Simulations
IRMA - Institut de Recherche Mathématique Avancée, Inria Nancy - Grand Est
Abstract : Many problems encountered in applied mathematics can be recast as the problem of selecting a particular common fixed point of a countable family of quasi-nonexpansive operators in a Hilbert space. We propose two iterative methods to solve such problems. Our convergence analysis is shown to cover a variety of existing results in this area. Applications to solving monotone inclusion and equilibrium problems are considered.
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Submitted on : Friday, June 8, 2018 - 4:10:08 PM
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Sever Adrian Hirstoaga. Iterative selection methods for common fixed point problems. Journal of Mathematical Analysis and Applications, Elsevier, 2006, 324 (2), pp.1020-1035. ⟨10.1016/j.jmaa.2005.12.064⟩. ⟨hal-01811186⟩



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