Towards viscosity approximations of hierarchical fixed-point problems

By Abdellatif Moudafi, Paul-Emile Maingé. 2006

93 citations recorded by the source corpus.

We introduce methods which seem to be a new and promising tool in hierarchical fixed-point 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, , where denotes the normal cone to the set of fixed point of the original nonexpansive mapping and a suitable nonexpansive mapping criterion. The link with other approximation schemes in this field is also made.

Subfields: Computational Theory and Mathematics, Geometry and Topology, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/61abedae5fde0c99a3552b19221d71e7e36158aa

Citations in the corpus

• Hierarchical convergence of an implicit double-net algorithm for nonexpansive semigroups and variational inequality problems (2011, unknown): “For the related works, refer to [1-19].”