Journal of Shenyang Aerospace University >
Optimality conditions for the second-order cone constrained variational inequalities
Received date: 2022-12-05
Online published: 2023-11-09
The optimality conditions for the second-order cone constrained variational inequalities was studied.Firstly,the second-order cone constrained variational inequalities were transformed into a special minimization problem,and the equivalent form for the second-order cone constrained variational inequalities was obtained.Secondly,the first-order necessity conditions for the second-order cone constrained variational inequalities was obtained according to the equivalent form.Finally,the second-order sufficiency condition satisfying Robinson constraint specification was proved.The analysis of optimality conditions provides the oretical support for the algorithm design of the second-order cone constrained variational inequalities.
SUN Yining , WANG Li , SUN Juhe , WANG Bin , YUAN Yanhong . Optimality conditions for the second-order cone constrained variational inequalities[J]. Journal of Shenyang Aerospace University, 2023 , 40(4) : 67 -71 . DOI: 10.3969/j.issn.2095-1248.2023.04.009
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