Towards Viscosity Approximations of Hierarchical Fixed-point Problems

@inproceedings{Moudafi2006TowardsVA,
  title={Towards Viscosity Approximations of Hierarchical Fixed-point Problems},
  author={Abdellatif Moudafi and P.-E. Maing{\'e}},
  year={2006}
}
We introduce methods which seem to be a new and promising tool in hierarchical fixedpoint problems. The goal of this note is to analyze the convergence properties of these new types of approximating methods for fixed-point problems. The limit attained by these curves is the solution of the general variational inequality, 0 ∈ (I −Q)x∞ + NFixP(x∞), where NFixP denotes the normal cone to the set of fixed point of the original nonexpansive mapping P and Q a suitable nonexpansive mapping criterion… CONTINUE READING

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