In this paper we prove the existence of solutions of regularized set-valued variational inequalities involving Br´ezis pseudomonotone operators in reflexive and locally uniformly convex Banach spaces. By taking advantage of this result, we approximate a general setvalued variational inequality with suitable regularized set-valued variational inequalities, and we show that their solutions weakly converge to a solution of the original one. Furthermore, by strengthening the coercivity conditions, we can prove the strong convergence of the approximate solutions.

Bianchi, M., Pini, R., Kassay, G., Regularization of Brezis pseudomonotone variational inequalities, <<SET-VALUED AND VARIATIONAL ANALYSIS>>, 2021; 2020 (29): 175-190. [doi:10.1007/s11228-020-00543-3] [http://hdl.handle.net/10807/161200]

Regularization of Brezis pseudomonotone variational inequalities

Bianchi, Monica;
2020

Abstract

In this paper we prove the existence of solutions of regularized set-valued variational inequalities involving Br´ezis pseudomonotone operators in reflexive and locally uniformly convex Banach spaces. By taking advantage of this result, we approximate a general setvalued variational inequality with suitable regularized set-valued variational inequalities, and we show that their solutions weakly converge to a solution of the original one. Furthermore, by strengthening the coercivity conditions, we can prove the strong convergence of the approximate solutions.
Inglese
Bianchi, M., Pini, R., Kassay, G., Regularization of Brezis pseudomonotone variational inequalities, <<SET-VALUED AND VARIATIONAL ANALYSIS>>, 2021; 2020 (29): 175-190. [doi:10.1007/s11228-020-00543-3] [http://hdl.handle.net/10807/161200]
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/10807/161200
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