Sensitivity Analysis for General Nonlinear Nonconvex VariationalInequalities

[摘要] In this communication, we proved that the parametric general nonlinear nonconvex variational inequalities are equivalent to the parametric general Wiener-Hopf equations. We use this alternative equivalence formulation to studied the sensitivity analysis for general nonlinear nonconvex variational inequalities without assuming the differentiability of the given data.

[关键词] Sensitivity analysis;Parametric general nonlinear nonconvex variational inequalities;Fixed point;Parametric general Wiener-Hopf equations;(j;y )-relaxed cocoercive mapping;Lipschitz continuous mappings;uniformly r-prox regular sets;Hilbert spaces