An Explicit Iterative Algorithm for a Class of Variational Inequalities in Hilbert Spaces

An Explicit Iterative Algorithm for a Class of Variational Inequalities in Hilbert Spaces

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Article ID: iaor201111156
Volume: 151
Issue: 3
Start Page Number: 513
End Page Number: 524
Publication Date: Dec 2011
Journal: Journal of Optimization Theory and Applications
Authors: ,
Keywords: calculus of variations, Hilbert space
Abstract:

In this paper, we introduce a new explicit iterative algorithm for finding a solution for variational inequalities over the set of common fixed points of a finite family of nonexpansive maps on Hilbert spaces. An application and a numerical result are given for illustration.

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