Outer approximation method for constrained composite fixed point problems involving Lipschitz pseudo contractive operators

Details Outer approximation method for constrained composite fixed point problems involving Lipschitz pseudo contractive operators Outer approximation method for constrained composite fixed point problems involving Lipschitz pseudo contractive operators

2011-01-07

arxiv.org/abs/1101.1495v1

Mathematics

Optimization and Control

Scientific paper

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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