کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
481610 | 1446113 | 2011 | 7 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Inverse variational inequalities with projection-based solution methods Inverse variational inequalities with projection-based solution methods](/preview/png/481610.png)
An inverse variational inequality is defined as to find a vector u∗∈Rnu∗∈Rn, such thatF(u∗)∈Ω,(v-F(u∗))Tu∗⩾0,∀v∈Ω.If an inverse function u = F−1(x) exists, the above inverse variational inequality could be transformed as a regular variational inequality. However, in reality, it is not uncommon that the inverse function of F−1(x) does not have explicit form, although its functional values can be observed. Existing line search algorithms cannot be applied directly to solve such inverse variational inequalities. In this paper, we propose two projection-based methods using the co-coercivity of mapping F. A self-adaptive strategy is developed to determine the step sizes efficiently when the co-coercivity modulus is unknown. The convergence of the proposed methods is proved rigorously.
Journal: European Journal of Operational Research - Volume 208, Issue 1, 1 January 2011, Pages 12–18