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Linesearch methods for bilevel split pseudomonotone variational inequality problems

Authors: Tran Viet Anh,

https://doi.org/10.1007/s11075-018-0583-2

Publisher, magazine: ,

Publication year: 2019

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Abstract

In this paper, we propose Linesearch methods for solving 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.

Tags: bilevel split variational inequality problem; linesearch methods; pseudomonotone mapping; strong convergence

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