Multivalued Tikhonov Trajectories of General Affine Variational Inequalities

N. T. T. Huong (), P. D. Khanh () and N. D. Yen ()
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N. T. T. Huong: Le Qui Don University
P. D. Khanh: University of Pedagogy of Ho Chi Minh City
N. D. Yen: Vietnam Academy of Science and Technology

Journal of Optimization Theory and Applications, 2013, vol. 158, issue 1, No 5, 85-96

Abstract: 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.

Keywords: Affine variational inequality; Tikhonov regularization; Multivalued trajectory; Determinant; Rational function (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/s10957-012-0226-z

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