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Multivalued Tikhonov Trajectories of General Affine Variational Inequalities |
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| Authors: | N. T. T. Huong P. D. Khanh N. D. Yen |
| Affiliation: | 1. Department of Information Technology, Le Qui Don University, 100 Hoang Quoc Viet, Hanoi, Vietnam 2. Department of Mathematics, University of Pedagogy of Ho Chi Minh City, 280 An Duong Vuong, Ho Chi Minh, Vietnam 3. Institute of Mathematics, Vietnam Academy of Science and Technology, 18 Hoang Quoc Viet, Hanoi, 10307, Vietnam |
| 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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