General nonlinear variational inequalities with (S)+1 operators Original Research Article

In this paper, we consider the general nonlinear variational inequality introduced in the paper [1], which extends several variational problems in the literature arising from mechanics, physics, and engineering. Some new existence results are established in the setting of real reflexive Banach spaces for the case where the main operator satisfies a condition which generalizes the (S)+1 condition introduced in [2] by Isac and Gowda.