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Towards viscosity approximations of hierarchical fixed-point problems
Fixed Point Theory and Applications volume 2006, Article number: 95453 (2006)
Abstract
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.
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Moudafi, A., Maingé, PE. Towards viscosity approximations of hierarchical fixed-point problems. Fixed Point Theory Appl 2006, 95453 (2006). https://doi.org/10.1155/FPTA/2006/95453
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DOI: https://doi.org/10.1155/FPTA/2006/95453