Multivalued Tikhonov Trajectories of General Affine Variational Inequalities

Authors: Nguyễn Thị Thu Hương, Phạm Duy Khánh, Nguyễn Đông Yên,

https://doi.org/10.1007/s10957-012-0226-z

Publisher, magazine: ,

Publication year: 2013

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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.

Tags: Affine variational inequality; Tikhonov regularization; Multivalued trajectory; Determinant; Rational function.