# 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} }

- Published 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

#### From This Paper

##### Topics from this paper.

#### Citations

##### Publications citing this paper.

Showing 1-10 of 19 extracted citations

## Construction algorithms for a class of monotone variational inequalities

View 5 Excerpts

Highly Influenced

## Hybrid methods for accretive variational inequalities involving pseudocontractions in Banach spaces

View 6 Excerpts

Highly Influenced

## On general systems of variational inequalities

View 10 Excerpts

Highly Influenced

## Relaxed Viscosity Approximation Methods with Regularization for Constrained Minimization Problems

View 4 Excerpts

Highly Influenced

## Krasnoselski-Mann type iterative method for hierarchical fixed point problem and split mixed equilibrium problem

View 2 Excerpts

Highly Influenced

#### References

##### Publications referenced by this paper.

Showing 1-7 of 7 references

## The hybrid steepest descent method for the variational inequality problem over the intersection of fixed point sets of nonexpansive mappings

View 4 Excerpts

Highly Influenced

## Variational Analysis

View 1 Excerpt

Highly Influenced

## Variational Convergence for Functions and Operators

View 1 Excerpt

## Two remarks on the convergence of convex functions and monotone operators

## Two remarks on the convergence of convex functions and monotone operators , Nonlinear Analysis

## Opérateurs Maximaux Monotones et Semi-Groupes de Contractions dans les Espaces de Hilbert

View 1 Excerpt