Estimates of approximate solutions and well-posedness for variational inequalities |
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| Authors: | Ya-Ping Fang Rong Hu |
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| Affiliation: | (1) Department of Mathematics, Sichuan University, Chengdu, Sichuan, People’s Republic of China;(2) Department of Computational Science, Chengdu University of Information Technology, Chengdu, Sichuan, People’s Republic of China |
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| Abstract: | The purpose of this paper is to estimate the approximate solutions for variational inequalities. In terms of estimate functions, we establish some estimates of the sizes of the approximate solutions from outside and inside respectively. By considering the behaviors of estimate functions, we give some characterizations of the well-posedness for variational inequalities. This work was partially supported by the Basic and Applied Research Projection of Sichuan Province (05JY029-009-1) and the National Natural Science Foundation of China (10671135). |
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| Keywords: | Variational inequality Approximate solution Estimate Well-posedness |
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