Outer Approximation Method for Constrained Composite Fixed Point Problems Involving Lipschitz Pseudo Contractive Operators |
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Authors: | Luis M Briceño-Arias |
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Institution: | 1. UPMC Université Paris 06, Laboratoire Jacques-Louis Lions and équipe Combinatoire et Optimisation , Paris, France lbriceno@math.jussieu.fr |
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Abstract: | We propose a method for solving constrained fixed point problems involving compositions of Lipschitz pseudo contractive and firmly nonexpansive operators in Hilbert spaces. Each iteration of the method uses separate evaluations of these operators and an outer approximation given by the projection onto a closed half-space containing the constraint set. Its convergence is established and applications to monotone inclusion splitting and constrained equilibrium problems are demonstrated. |
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Keywords: | Equilibrium problem Firmly nonexpansive operator Fixed point problems Monotone inclusion Monotone operator Pseudo contractive operator Splitting algorithm |
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