Affine Variational Inequalities on Normed Spaces |
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| Authors: | Nguyen Dong Yen Xiaoqi Yang |
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| Affiliation: | 1.Institute of Mathematics,Vietnam Academy of Science and Technology,Hanoi,Vietnam;2.Department of Applied Mathematics, The Hong Kong Polytechnic University,Hong Kong,China |
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| Abstract: | This paper studies infinite-dimensional affine variational inequalities on normed spaces. It is shown that infinite-dimensional quadratic programming problems and infinite-dimensional linear fractional vector optimization problems can be studied by using affine variational inequalities. We present two basic facts about infinite-dimensional affine variational inequalities: the Lagrange multiplier rule and the solution set decomposition. |
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