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Continuity of the Solution Map in Parametric Affine Variational Inequalities |
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| Authors: | Gue Myung Lee Nguyen Nang Tam and Nguyen Dong Yen |
| Institution: | (1) Department of Applied Mathematics, Pukyong National University, Pusan, 608-737, Korea;(2) Department of Mathematics, Hanoi Pedagogical Institute No. 2, Xuan Hoa, Me Linh, Vinh Phuc, Vietnam;(3) Institute of Mathematics, Vietnamese Academy of Science and Technology, 18 Hoang Quoc Viet Road, 10307 Hanoi, Vietnam |
| Abstract: | A systematic study of the upper semicontinuity and the lower semicontinuity of the solution map in parametric affine variational inequalities is given in this paper. Several examples are constructed to analyze the results. This work was supported by Korea Research Foundation Grant (KRF 2001-015-DP0049), the APEC Postdoctoral Fellowships Program, and the KOSEF Brain Pool Program. |
| Keywords: | parametric affine variational inequality solution map upper semicontinuity lower semicontinuity Lagrange multiplier |
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