|Tiêu đề||On Bilevel Split Pseudomonotone Variational Inequality Problems with Applications|
|Loại công bố||Journal Article|
|Năm xuất bản||2016|
|Tác giả||Anh, PKy, Anh, TViet, Muu, LDung|
|Tạp chí||Acta Mathematica Vietnamica|
|Tóm tắt|| |
In this paper, we investigate a bilevel split variational inequality problem (BSVIP) involving a strongly monotone mapping in the upper-level problem and pseudomonotone mappings in the lower-level one. A strongly convergent algorithm for such a BSVIP is proposed and analyzed. In particular, a problem of finding the minimum-norm solution of a split pseudomonotone variational inequality problem is also studied. As a consequence, we get a strongly convergent algorithm for finding the minimum-norm solution to the split feasibility problem, which requires only two projections at each iteration step. An application to discrete optimal control problems is considered.