Multivalued Tikhonov Trajectories of General Affine Variational Inequalities

Multivalued Tikhonov Trajectories of General Affine Variational Inequalities

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Article ID: iaor20134192
Volume: 158
Issue: 1
Start Page Number: 85
End Page Number: 96
Publication Date: Jul 2013
Journal: Journal of Optimization Theory and Applications
Authors: , ,
Keywords: inequality problems
Abstract:

The Tikhonov trajectory of a general, not necessarily monotone, affine variational inequality is analyzed via the basic properties like single‐valuedness, finite‐valuedness, continuity, and convergence. We study the multivalued trajectory, which is obtained, by the Tikhonov regularization method, on the whole interval of positive parameters.

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