An infeasible projection algorithm(IPA)for solving nonmonotone varia-tional inequality problems was proposed by Ye(2022).Without needing any monotonicity condition of the underlying mapping,the global convergence of the sequence generated by IPA is established whenever the underlying mapping is continuous and the solution set of the dual variational inequality is nonempty.In this paper,we present an inertial I-PA for solving nonmonotone variational inequalities.The global convergence of this new algorithm is proved under the same assumptions in IPA.Numerical experiments show that the inertial technique can accelerate IPA.
维普
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