Towards viscosity approximations of hierarchical fixed-point problems
© A. Moudafi and P.-E. Maingé. 2006
Received: 10 February 2006
Accepted: 18 September 2006
Published: 27 November 2006
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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