Inserted: 21 aug 2017
Last Updated: 11 oct 2017
Journal: J. Math. Anal. Appl.
A class of stochastic weighted variational inequalities in non-pivot Hilbert spaces is proposed. Existence and continuity results are proved. These theoretical results play a prominent role in order to introduce a new weighted transportation model with uncertainty. Moreover, they allow to establish the equivalence between the random weighted equilibrium principle and a suitable stochastic weighted variational inequality. At the end, a numerical model is discussed.
Keywords: existence, Non-pivot Hilbert spaces, Stochastic weighted variational inequalities, Stochastic continuity, Traffic problem