In this paper, we propose a new adaptive forward-backward algorithm to solve the quasimonotone variational inequality problem in real Hilbert spaces. Under reasonable assumptions, we prove that the iterative sequence generated by the algorithm converges strongly to an element of the solution set of the variational inequality problem. Finally, numerical experiments show the effectiveness and superiority of the new algorithm.
YU Sijie
,
LONG Xianjun
. An adaptive algorithm for solving quasimonotone variational inequality problems[J]. Operations Research Transactions, 2026
, 30(2)
: 179
-193
.
DOI: 10.15960/j.cnki.issn.1007-6093.2026.02.014
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