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 Lp, 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.

Passacantando, M., Raciti, F. (2021). On the approximation of monotone variational inequalities in L^p spaces with probability measure. In T.M. Rassias, P.M. Pardalos (a cura di), Nonlinear Analysis and Global Optimization (pp. 403-425). Springer [10.1007/978-3-030-61732-5_19].

On the approximation of monotone variational inequalities in L^p spaces with probability measure

Passacantando, M;
2021

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 Lp, 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.
No
Scientifica
Capitolo o saggio
stochastic variational inequality; approximation; traffic equilibrium
English
Nonlinear Analysis and Global Optimization
978-3-030-61731-8
Softcover ISBN 978-3-030-61734-9 - eBook ISBN 978-3-030-61732-5
Passacantando, M., Raciti, F. (2021). On the approximation of monotone variational inequalities in L^p spaces with probability measure. In T.M. Rassias, P.M. Pardalos (a cura di), Nonlinear Analysis and Global Optimization (pp. 403-425). Springer [10.1007/978-3-030-61732-5_19].
Passacantando, M; Raciti, F
File in questo prodotto:
File Dimensione Formato  
On the Approximation of Monotone Variational Inequalities in Lp Spaces with Probability Measure.pdf

Solo gestori archivio

Descrizione: Article
Tipologia di allegato: Publisher’s Version (Version of Record, VoR)
Dimensione 340.37 kB
Formato Adobe PDF
340.37 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/10281/391581
Citazioni
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
Social impact