(\alpha , \beta)-Monotone Variational Inequalities Over Arbitrary Product Sets

The purpose of this paper is to introduce some new concept and extend the usual ones are introduced for variational inequality problems over arbitrary product sets. Our result can be viewed as an extension of the results obtained by Igor V. Konnov [Relatively monotone variational inequalities over product sets, Operation research letters 28(2001), 21-26]. Moreover the results of this paper can be consider as a new version of the main results in [1].