On the Approximation of Monotone Variational Inequalities in L p Spaces with Probability Measure

Mauro Passacantando () and Fabio Raciti ()
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Mauro Passacantando: Università di Pisa
Fabio Raciti: Università di Catania

A chapter in Nonlinear Analysis and Global Optimization, 2021, pp 403-425 from Springer

Abstract: Abstract In this paper we propose an approximation procedure for a class of monotone variational inequalities in probabilistic Lebesgue spaces. The implementation of the functional approximation in L p, with p > 2, leads to a finite dimensional variational inequality whose structure is different from the one obtained in the case p = 2, already treated in the literature. The proposed computational scheme is applied to the random traffic equilibrium problem with polynomial cost functions.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-030-61732-5_19

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DOI: 10.1007/978-3-030-61732-5_19

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