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.
Stochastic weighted variational inequalities in non-pivot Hilbert spaces with applications to a transportation model / Annamaria, Barbagallo; Scilla, Giovanni. - In: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. - ISSN 0022-247X. - 457:(2018), pp. 1118-1134. [10.1016/j.jmaa.2017.07.067]
Stochastic weighted variational inequalities in non-pivot Hilbert spaces with applications to a transportation model
SCILLA, GIOVANNI
2018
Abstract
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.| File | Dimensione | Formato | |
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Barbagallo_Stochastic_2018.pdf
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